SOLUTION: Factorise the following (polynomial): (a+b)^3-(a-b)^3

Question 864944: Factorise the following (polynomial):
(a+b)^3-(a-b)^3
Found 2 solutions by ben720, Alan3354:
Answer by ben720(159) (Show Source): You can put this solution on YOUR website!
First, lengthen the exponent:

To find (a+b)(a+b)(a+b), find all the multiplications and add them:
a*a*a
a*a*b
a*b*a
a*b*b
b*a*a
b*a*b
b*b*a
b*b*b
for a total of , or
For (a-b)(a-b)(a-b), it's the same, except the terms with exactly 1 or 3 b's will be negative.
The total of (a-b)(a-b)(a-b) is

Because you're subtracting the second, your number is

Distribute the -1

Combine like terms

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Factorise the following (polynomial):
(a+b)^3-(a-b)^3
===============
It's a difference of 2 cubes.

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(a+b)^3-(a-b)^3
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