Question

Factorise using identity: (a+b)^3(c+d)-(c+d)^3(a+b)

Answer 1

We see that common factor for the two terms given is

(a+b)(c+d) .  So take out that.

$(a+b)(c+d){(a+b)^2-(c+d)^2}</p> <p>= (a+b)(c+d)(a+b+c+d)(a+b-c-d)$