Question

FACTORIZE 8a cube + underoot 27b cube

Answer 1

=8a^3+root27b^3

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

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

=(2a+3b)[((2a)^2-2a*3b+(3b)^2]

=(2a+3b)[(4(a)^2-6ab+9b^2]

Answer 2

${8a}^{3} + \sqrt{27} {b}^{3}$