simplifying

spacewater

Junior Member
Joined
Jul 10, 2009
Messages
67
problem
(x+h)2x2h\displaystyle \frac{(x+h)^2-x^2}{h}

(x+h)(x+h)x2h\displaystyle \frac{(x+h)(x+h)-x^2}{h}
What more can I do from here?
 
You could multiply out the brackets to get (x2+2xh+h2)\displaystyle (x^2+2xh+h^2)

Can you see what to do after that?
 
(x+h)2x2h\displaystyle \frac{(x+h)^2-x^2}{h}

a^2 - b^2 = (a-b)(a+b)

(x+hx)(x+h+x)h\displaystyle \frac{(x+h-x)(x+h+x)}{h}

(h)(2x+h)h\displaystyle \frac{(h)(2x+h)}{h}

Complete ...
 
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