SOLUTION: I'm working with a difference quotient problem. I haven't taken math for awhile and I'm having trouble with simplifying, though. Here's what I need to simplify: -6x(x+h)^2+8(x+h)+

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Question 429738: I'm working with a difference quotient problem. I haven't taken math for awhile and I'm having trouble with simplifying, though. Here's what I need to simplify:
-6x(x+h)^2+8(x+h)+5-(-6x^2+8x+5)
I understand that the next step includes a 12xh, and I have no clue where that's coming from. Thanks for your help!
Theresa

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
simplify:
-6x(x+h)^2+8(x+h)+5-(-6x^2+8x+5)
-------------
-6x[x^2+2hx+h^2] + 8x+8h + 5 +6x^2-8x-5
------
-6x^3-12hx^2-6h^2x + 6x^2 + 0 + 0
------
= -6x^3 -(12h-6)x^2 -6h^2x
=====================================
Cheers,
Stan H.
==============

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