Question

Factorize
(1) . 27a³+8b³+54a²b+36ab²
(2) . 8x³+64

Answer 1

i)27a^3+8b^3+54a^2b+36ab^2 =(3a)^3+(2b)^3+3×(3a)^2×2b+3×3a×(2b)^2 =(3a+4b)^3 ii)8x^3+64 =(2x)^3+4^3 =(2x+4){(2x)^2-2x×4+4^2} =(2x+4)(4x^2-8x+16)