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

Ciara Rose 2022-07-25 Answered
Factor completly.
$8\left(2x+3{\right)}^{2}\left(x-7{\right)}^{4}-\left(2x+3{\right)}^{3}\left(x-7{\right)}^{3}$
You can still ask an expert for help

## Want to know more about Polynomial arithmetic?

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

phinny5608tt
The expression is
$8\left(2x+3{\right)}^{2}\left(x-7{\right)}^{4}-\left(2x+3{\right)}^{3}\left(x-7{\right)}^{3}$
The GCF of the two polynomial terms is $\left(2x+3{\right)}^{2}\left(x-7{\right)}^{3}$
Using Distributive property taking the GCF common out of the polynomials implies
$\left(2x+3{\right)}^{2}\left(x-7{\right)}^{3}\left[8\left(x-7\right)-\left(2x+3\right)\right]$
Simplify the terms in the bracket
$\left(2x+3{\right)}^{2}\left(x-7{\right)}^{3}\left[8x-56-2x-3\right]$
That is
$\left(2x+3{\right)}^{2}\left(x-7{\right)}^{3}\left(6x-59\right)$

We have step-by-step solutions for your answer!

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

Solve your problem for the price of one coffee