Posted by **Joe** on Tuesday, July 22, 2008 at 6:51pm.

How would I simplify the following, but leave it in factored form?

[(2x+7)^6 x 5(x-2)^4] + [(x-2)^5 x 6(2x+7)^5 x 2]

If you can also explain how to do it step by step, that would be VERY appreciated. THANK YOU SO MUCH.

- Precalc -
**Quidditch**, Tuesday, July 22, 2008 at 9:38pm
I changed the variable to y to avoid confusion with the x used for multiplication.

[(2y+7)^6 x 5(y-2)^4] + [(y-2)^5 x 6(2y+7)^5 x 2]

(2y+7)^5 and (y-2)^4 are common to both terms.

bring the common factors outside:

=((2y+7)^5)x((y-2)^4)x[(2y+7)+(y-2)x2]

There are 2 terms in the rightmost factor. Combine like items.

- Precalc -
**Quidditch**, Tuesday, July 22, 2008 at 9:51pm
Oops!

An error on my part!

The last line should be:

=((2y+7)^5)x((y-2)^4)x[5x(2y+7)+6x(y-2)x2]

## Answer this Question

## Related Questions

- PRECALC - How would I simplify the following, but leave it in factored form? [(...
- Precalculus - Hello, Thanks for all of the help guys. I really appreciate it. I ...
- Chemistry - In a chain mechanism, a reaction in which two free radicals combine ...
- algebra 1 - can someone please help me solve the question and explain to me and ...
- Algebra help - f(x)=x^3-4x^2-x+4 How do I find the x-intercept for this? This is...
- Simplify this Expression? - Simplify the following Expression z-2z+4z+6 Can you ...
- precalc - How would you find the inverse of these two functions: f(x)=4/(x-4)^2 ...
- Math Pre-Algebra - Simplify the Expression(-8/15)+(1/15). Show how to simplify ...
- ALGEBRA HELP - When solving the equation, what property was used to go from step...
- chemistry clearly step by step - Al2(s04)3 solution of 1 molal concentration is ...

More Related Questions