Question

(2x+1)^3+(x-1)^3 factorise.

Answer 1

Answer:

Step-by-step explanation:

(2x+1)^3 + (x-1)^3

a^3+b^3 = (a+b) (a^2 - ab + b^2)

=(2x+1+x-1) {(2x+1)^2 - (2x+1)×(x-1) + (x-1)^2}

=3x{(4x^2+1)-(2x^2-2x+x-1)+(x^2+1)}

=3x(4x^2+1-2x^2+2x-x+1+x^2+1)

=3x(4x^2+x^2-2x^2+2x-x+1+1+1)

=3x(5x^2-2x^2+x+3)

=3x(3x^2+x+3) Ans.