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=
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
Related questions
Question
![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=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22926f56-41bb-43d5-b1fa-42be8a3ae12e%2F500ed526-7a58-49c8-bba4-90a56574b9d0%2Fa8po68k_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22926f56-41bb-43d5-b1fa-42be8a3ae12e%2F500ed526-7a58-49c8-bba4-90a56574b9d0%2Fqp85c3o_processed.jpeg&w=3840&q=75)
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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