Question 864944
Factorise the following (polynomial):
(a+b)^3-(a-b)^3
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It's a difference of 2 cubes.
{{{m^3 - n^3 = (m-n)*(m^2 + mn + n^2)}}}
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(a+b)^3-(a-b)^3
= {{{((a+b)-(a-b))*((a+b)^2 + (a+b)(a-b) + (a-b)^2)}}}
= {{{2b*(a^2 + 2ab + b^2 + a^2 - b^2 + a^2 - 2ab + b^2)}}}
= {{{2b*(3a^2 + b^2)}}}
= {{{6a^2b + 2b^3}}}