Question 961095


{{{(a+b)^4-(a-b)^4}}}....write {{{(a+b)^4}}} and {{{(a-b)^4}}} as {{{((a+b)^2)^2}}} and {{{((a-b)^2)^2}}} and use the rule for sum and difference of squares

{{{((a+b)^2)^2-((a-b)^2)^2}}}

{{{((a+b)^2-(a-b)^2)((a+b)^2+(a-b)^2)}}}

{{{((a+b)-(a-b))((a+b)+(a-b))((a^2+2ab+b^2)+(a^2-2ab+b^2))}}}

{{{(a+b-a+b)(a+b+a-b)(a^2+2ab+b^2+a^2-2ab+b^2)}}}

{{{(2b)(2a)(a^2+2ab+b^2+a^2-2ab+b^2)}}}

{{{4ab(2(a^2+b^2))}}}

{{{4*2ab(a^2+b^2)}}}

{{{8ab(a^2+b^2)}}}