Question

(a+b)^3 -a - b factorise​

Answer 1

(a+b)^3-a-b

Factor out the negative sign

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

Factor out the (a+b) term

(a+b)[(a+b)^2–1]

Notice the difference of two squares (A^2-B^2 = (A+B)(A-B) where A = a+b, B = 1

(a+b)[(a+b)-1][(a+b)+1]

(a+b)(a+b-1)(a+b+1)