Question

Factorize (a/2+2/b)^3
&
(1 + 4m)^3

Answer 1

(a/2+2/b)³ = a³/8 + 8/b³ + 3× a/2 × 2/b (a/2+2/b)

= a³/8 + 8/b³ + 3× a/b× (a/2+2/b)

= a³/8 + 8/b³ + 3× a/b× (ab+4 / 2b )

= a³/8 + 8/b³ + 3× a× (ab+4 / 2)

(1 + 4m)³ = 1³ + 64m³ +3 × 4m (1+4m )

= 1+64m³ +12m (1+4m )

= 1+64m³ + 12m + 48 m²

= 64m³ +48 m² +12m +1