Recall that a binomial made up of the difference of two perfect squares can be factored by the following pattern. a²b² = (a + b)(a - b) Use this pattern to factor the binomial (7b)² - 8². (76)²-8²=

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.5: Differences Of Two Squares
Problem 25OE
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Recall that a binomial made up of the difference of two perfect squares can be factored by the following pattern.
a²b² = (a + b)(a - b)
Use this pattern to factor the binomial (76)² - 8².
(7b)²-8²=
Transcribed Image Text:Recall that a binomial made up of the difference of two perfect squares can be factored by the following pattern. a²b² = (a + b)(a - b) Use this pattern to factor the binomial (76)² - 8². (7b)²-8²=
Step 3
Recall that a binomial made up of the difference of two perfect cubes can be factored by the pattern
a³ b³ = (a - b)(a² + ab + 6²).
Comparing the given polynomial (3d)³ – (4)³ to the pattern a³ - b³, we have a =
b =
and
Transcribed Image Text:Step 3 Recall that a binomial made up of the difference of two perfect cubes can be factored by the pattern a³ b³ = (a - b)(a² + ab + 6²). Comparing the given polynomial (3d)³ – (4)³ to the pattern a³ - b³, we have a = b = and
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