Lukecrayonz
  • Lukecrayonz
Question about this simplifying?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Lukecrayonz
  • Lukecrayonz
Question is f(x+h)-f(x)/h and f(x)=-2x^2, solve for difference quotient.
Lukecrayonz
  • Lukecrayonz
So I got -2(x+h)^2-2x^2/h, and got -2x^2-2h^2-2x^2/h. -4x^2-2h^2/h -4x^2-2h
Lukecrayonz
  • Lukecrayonz
But my book says it is -4x-2h

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More answers

inkyvoyd
  • inkyvoyd
the answer should be -4x-2h
Lukecrayonz
  • Lukecrayonz
Yeah, why?
Lukecrayonz
  • Lukecrayonz
Where is this simplifying of x^2 coming from?
inkyvoyd
  • inkyvoyd
(-2x^2-2h^2-2x^2)/h is incorrect
inkyvoyd
  • inkyvoyd
you need to expand the first term using foil
inkyvoyd
  • inkyvoyd
-2(x+h)^2=-2x^2-4xh-2h^2
inkyvoyd
  • inkyvoyd
note how -2x^2 cancels out
Lukecrayonz
  • Lukecrayonz
OH I see what the hell I'm doing wrong..
Psymon
  • Psymon
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Lukecrayonz
  • Lukecrayonz
I was friggin distributing -2(x+h)^2 and just tagging on a square to my answers... hahaha
Lukecrayonz
  • Lukecrayonz
-2(x+h)(x+h)
inkyvoyd
  • inkyvoyd
and -f(x) is actually +2x^2
Psymon
  • Psymon
And then a quick way for that stuff: \[(a+b)^{2}=a ^{2}+2ab+b ^{2} \]
inkyvoyd
  • inkyvoyd
so, everything @Psymon said, with the addition of a yolo

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