Main content

Algebra 2

Course: Algebra 2 > Unit 3

Lesson 5: Factoring using structure

Factorization with substitution

We want to factor the following expression:

left parenthesis, x, plus, 4, right parenthesis, squared, minus, 4, y, start superscript, 5, end superscript, left parenthesis, x, plus, 4, right parenthesis, plus, 4, y, start superscript, 10, end superscript

We can factor the expression as left parenthesis, U, minus, V, right parenthesis, squared where U and V are either constant integers or single-variable expressions.

1) What are U and V?

(Choice A)
U, equals, left parenthesis, x, plus, 4, right parenthesis and V, equals, 2, y
(Choice B)
U, equals, left parenthesis, x, plus, 4, right parenthesis, squared and V, equals, 2, y
(Choice C)
U, equals, left parenthesis, x, plus, 4, right parenthesis and V, equals, 2, y, start superscript, 5, end superscript
(Choice D)
U, equals, left parenthesis, x, plus, 4, right parenthesis, squared and V, equals, 2, y, start superscript, 5, end superscript
(Choice E)
U, equals, left parenthesis, x, plus, 4, right parenthesis and V, equals, 4, y, start superscript, 10, end superscript
(Choice F)
U, equals, left parenthesis, x, plus, 4, right parenthesis, squared and V, equals, 4, y, start superscript, 10, end superscript

2) Factor the expression.

Stuck?

Algebra 2

Course: Algebra 2 > Unit 3

Problem