Factor completely. 8(2x + 3)^2 (x-7)^4 - (2x+3)^3(x-7)^3

Ciara Rose 2022-07-25 Answered
Factor completly.
8 ( 2 x + 3 ) 2 ( x 7 ) 4 ( 2 x + 3 ) 3 ( x 7 ) 3
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Answers (1)

phinny5608tt
Answered 2022-07-26 Author has 17 answers
The expression is
8 ( 2 x + 3 ) 2 ( x 7 ) 4 ( 2 x + 3 ) 3 ( x 7 ) 3
The GCF of the two polynomial terms is ( 2 x + 3 ) 2 ( x 7 ) 3
Using Distributive property taking the GCF common out of the polynomials implies
( 2 x + 3 ) 2 ( x 7 ) 3 [ 8 ( x 7 ) ( 2 x + 3 ) ]
Simplify the terms in the bracket
( 2 x + 3 ) 2 ( x 7 ) 3 [ 8 x 56 2 x 3 ]
That is
( 2 x + 3 ) 2 ( x 7 ) 3 ( 6 x 59 )

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