SOLUTION: Prove a^3-64/a^2-16=a^2+4a+16/a+4

Question 111367: Prove a^3-64/a^2-16=a^2+4a+16/a+4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
For this problem we need to use the difference of squares and the difference of cubes formulas.

Remember the difference of squares formula is:

and the difference of cubes formula is:

So rewrite the numerator as notice how and for the formula . Now factor to

So our expression now looks like this:

Now factor the denominator using the difference of squares

Cancel like terms

Simplify

So this shows that simplifies to

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