We know that,a3 + b3 = (a + b) (a2 – a × b + b2)Using this formula, we get= (1)3 + (4x)3= (1 + 4x) [(1)2 – 1 (4x) + (4x)2]= (1 + 4x) (1 – 4x + 16x2)

Q4 of 274 Page 76

Factorize:
1 + 64x³

We know that,

a³ + b³ = (a + b) (a² – a × b + b²)

Using this formula, we get

= (1)³ + (4x)³

= (1 + 4x) [(1)² – 1 (4x) + (4x)²]

= (1 + 4x) (1 – 4x + 16x²)

Factorize:

8x³ + 27y³

Factorize:

343 + 125 b³

Factorize:

Factorize:1 + 64x3