I am working on foiling section of my math the problem looks like (5x+2Y)(4X+Y) Book says answer is 20Xsquared+13xy+2y: I get all parts of the first and last terms in the answer statement but I have know idea how it foils out a 13xy term??

You have to multiply every term by BOTH of the other terms in the parentheses. 5x*4x(20x^2) + 5x*y(5xy)+4x*2y(8xy)+ y*2y(2y^2) =20x^2 + 13xy + 2y^2.

Is it okay if I use this method? : (9h+3)(-h-1) -h(9h+3)-1(9h+3) -9h^2-3h-9h-3 -9h^2-12h-3 This is what Sal showed in the multiplying binomials video.

Yes, you can double distribute with either the first or the second binomial, and you did it correctly. The answer will be the same if you did 9h(-h-1) + 3(-h-1), just that on your 3rd step, the -9h and -3h would be interchanged.

whats bigger than a quadratic equation?

Quadratic equations are equations with a variable to the second power. Cubic equations have something to the third, and quartic equations have a variable to the fourth. Quintic equations have a variable to the fifth, but they are unsolvable.

Use FOIL or extended distribution to complete the multiplication. You can find an explanation of FOIL in this video: https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/multiplying-binomials-2/v/multiplying-binomials Sal gave an example of extended distribution on the page above. See if you can follow the examples and work thru the problem. Comment back if you get stuck and tell me what you tried.

how is this going to help me count my money or get a job

That depends on what job you have - most majors in college require some math to graduate, so counting money as a burger flipper is easier than as an engineer because there is so much less to count. Even doctors and lawyers who have a lot of money to count must take math to get to where they are.

this stuff is sooo hard. I have been learning this quadratics and factoring and it just don't make sense. the worst is completing the square. any help?

Practice. There's nothing more for you to learn. Practice. Do about 100 of each. This is math, not history class. You're not learning to repeat a story, you're being asked to actually do something, like hit a baseball. Practice.

Main content

Course: Algebra basics > Unit 7

Lesson 2: Multiplying binomials

Multiplying binomials review

Google Classroom

A binomial is a polynomial with two terms. For example,

x - 2

and

x - 6

are both binomials. In this article, we'll review how to multiply these binomials.

Example 1

Expand the expression.

(x - 2) (x - 6)

Apply the distributive property.

\begin{aligned} (x - 2) (x - 6) \\ = & x (x - 6) - 2 (x - 6) \end{aligned}

Apply the distributive property again.

= x (x) + x (- 6) - 2 (x) - 2 (- 6)

Notice the pattern. We multiplied each term in the first binomial by each term in the second binomial.

Simplify.

\begin{aligned} = & x^{2} - 6 x - 2 x + 12 \\ = & x^{2} - 8 x + 12 \end{aligned}

Example 2

Expand the expression.

(- a + 1) (5 a + 6)

Apply the distributive property.

\begin{aligned} (- a + 1) (5 a + 6) \\ = & - a (5 a + 6) + 1 (5 a + 6) \end{aligned}

Apply the distributive property again.

= - a (5 a) - a (6) + 1 (5 a) + 1 (6)

Notice the pattern. We multiplied each term in the first binomial by each term in the second binomial.

Simplify:

- 5 a^{2} - a + 6

Want to learn more about multiplying binomials? Check out this video.

Practice

Problem 1

Simplify.
Express your answer as a quadratic in standard form.

(x + 1) (x - 6)

Want more practice? Check out this intro exercise and this slightly harder exercise.

Want to join the conversation?

Sort by:

Komal
Posted 6 years ago. Direct link to Komal's post “Is it okay if I use this ...”
Is it okay if I use this method? :
(9h+3)(-h-1)
-h(9h+3)-1(9h+3)
-9h^2-3h-9h-3
-9h^2-12h-3
This is what Sal showed in the multiplying binomials video.
Button navigates to signup pageButton navigates to signup page
(9 votes)
Answer
- David Severin
  Posted 6 years ago. Direct link to David Severin's post “Yes, you can double distr...”
  Yes, you can double distribute with either the first or the second binomial, and you did it correctly. The answer will be the same if you did 9h(-h-1) + 3(-h-1), just that on your 3rd step, the -9h and -3h would be interchanged.
  Button navigates to signup page
  (9 votes)
Jauneenm21
Posted 6 years ago. Direct link to Jauneenm21's post “I am working on foiling s...”
I am working on foiling section of my math the problem looks like (5x+2Y)(4X+Y) Book says answer is 20Xsquared+13xy+2y: I get all parts of the first and last terms in the answer statement but I have know idea how it foils out a 13xy term??
Button navigates to signup pageButton navigates to signup page
(10 votes)
Answer
- ∆, The #1 Ice-Cream Proponent
  Posted 6 years ago. Direct link to ∆, The #1 Ice-Cream Proponent's post “You have to multiply ever...”
  You have to multiply every term by BOTH of the other terms in the parentheses. 5x*4x(20x^2) + 5x*y(5xy)+4x*2y(8xy)+ y*2y(2y^2) =20x^2 + 13xy + 2y^2.
  Button navigates to signup page
  (6 votes)
charlybug2002
Posted 6 years ago. Direct link to charlybug2002's post “whats bigger than a quadr...”
whats bigger than a quadratic equation?
Button navigates to signup pageButton navigates to signup page
(3 votes)
Answer
- Hudson
  Posted 5 years ago. Direct link to Hudson's post “Quadratic equations are e...”
  Quadratic equations are equations with a variable to the second power.
  
  Cubic equations have something to the third, and quartic equations have a variable to the fourth. Quintic equations have a variable to the fifth, but they are unsolvable.
  Comment on Hudson's post “Quadratic equations are e...”
  (5 votes)
ranoosh
Posted 7 years ago. Direct link to ranoosh's post “(4ab+2) (3ab-7)?”
(4ab+2) (3ab-7)?
Button navigates to signup pageButton navigates to signup page
(3 votes)
Answer
- Kim Seidel
  Posted 7 years ago. Direct link to Kim Seidel's post “Use FOIL or extended dist...”
  Use FOIL or extended distribution to complete the multiplication.
  You can find an explanation of FOIL in this video: https://www.khanacademy.org/math/algebra/introduction-to-polynomial-expressions/multiplying-binomials-2/v/multiplying-binomials
  
  Sal gave an example of extended distribution on the page above.
  
  See if you can follow the examples and work thru the problem. Comment back if you get stuck and tell me what you tried.
  Comment on Kim Seidel's post “Use FOIL or extended dist...”
  (2 votes)
Nikolay
Posted 4 years ago. Direct link to Nikolay's post “For those interested, Q2 ...”
For those interested, Q2 can be simplified further (although the question doesn't want it).

(-6d+6)(2d-2)
= -6(d-1)x2(d-1)
= -12(d-1)(d-1)
= -12(d-1)^2
Button navigates to signup pageComment on Nikolay's post “For those interested, Q2 ...”
(3 votes)
Answer
LilPr33tz
Posted 6 years ago. Direct link to LilPr33tz's post “Does this mention trinomi...”
Does this mention trinomials
Button navigates to signup pageComment on LilPr33tz's post “Does this mention trinomi...”
(1 vote)
Answer
- Ampare
  Posted 6 years ago. Direct link to Ampare's post “It does not mention trino...”
  It does not mention trinomials but you can use the same method for them.
  Button navigates to signup page
  (1 vote)
Hope
Posted 5 years ago. Direct link to Hope's post “So what exactly does this...”
So what exactly does this help us with in real life? Does help figure out like finances or a building or something.
Button navigates to signup pageButton navigates to signup page
(1 vote)
Answer
dmonte scott
Posted 6 years ago. Direct link to dmonte scott's post “how is this going to help...”
how is this going to help me count my money or get a job
Button navigates to signup pageButton navigates to signup page
(1 vote)
Answer
- David Severin
  Posted 6 years ago. Direct link to David Severin's post “That depends on what job ...”
  That depends on what job you have - most majors in college require some math to graduate, so counting money as a burger flipper is easier than as an engineer because there is so much less to count. Even doctors and lawyers who have a lot of money to count must take math to get to where they are.
  Button navigates to signup page
  (2 votes)
ZACHARY286
Posted 6 years ago. Direct link to ZACHARY286's post “how do I put the answer i...”
how do I put the answer in the text box it wont let me.
Button navigates to signup pageButton navigates to signup page
(1 vote)
Answer
【Barīpawāzu】♥バリーパワーズ
Posted 6 years ago. Direct link to 【Barīpawāzu】♥バリーパワーズ's post “this stuff is sooo hard. ...”
this stuff is sooo hard. I have been learning this quadratics and factoring and it just don't make sense. the worst is completing the square. any help?
Button navigates to signup pageComment on 【Barīpawāzu】♥バリーパワーズ's post “this stuff is sooo hard. ...”
(0 votes)
Answer
- Patrick Shanahan
  Posted 6 years ago. Direct link to Patrick Shanahan's post “Practice. There's nothin...”
  Practice. There's nothing more for you to learn. Practice. Do about 100 of each. This is math, not history class. You're not learning to repeat a story, you're being asked to actually do something, like hit a baseball. Practice.
  Button navigates to signup page
  (3 votes)