We know that,a3 + b3 = (a + b) (a2 – a × b + b2)Using this formula, we get= x2 (x3 + 1)= x2 (x + 1) [(x2) – x (1) + (1)2]= x2 (x + 1) (x2 – x + 1)

Q9 of 274 Page 76

Factorize:
x⁵ + x²

We know that,

a³ + b³ = (a + b) (a² – a × b + b²)

Using this formula, we get

= x² (x³ + 1)

= x² (x + 1) [(x²) – x (1) + (1)²]

= x² (x + 1) (x² – x + 1)

Factorize:

16x⁴ + 54x

Factorize:

7a³ + 56b³

Factorize:

a³ + 0.008

Factorize:

x⁶ + y⁶

Factorize:x5 + x2