Question

Divide a^3 + c^3 by a + c.

Answer 1

See use the formula:

\[a^3 + c^3 = (a+c)(a^2 + c^2 - ac)\]

Put this in above expression and tell what you will get??

Answer 2

So... One?

Answer 3

\[\frac{(a + c) \times (a^2 + c^2 - ac)}{a +c} = ?\]

Answer 4

Okay. a^3 / a + c

Answer 5

How??

Answer 6

Well, wouldn't it be a x a^2 + a x c^2 + a x -ac and then you simplify and are left with just a^3 and the a + c it was over?

Answer 7

See (a+c) and (a + c) gets cancel then what are you left with??

Answer 8

a^2 + c^2 - ac
...Derp.