Q8 of 65 Page 139

Let us factorize the following algebraic expressions:
32x⁴ – 500x

32x⁴ – 500x

= 4x (8x³ – 125)

= 4x [(2x)³ – (5)³]

We know, a³ – b³ = (a – b)(a² + ab + b²)

= 4x (2x – 5) [(2x)² + 2x.5 + (5)²]

= 4x (2x – 5) (4x² + 10x + 25)

Let us factorize the following algebraic expressions:

AR³ – Ar³ + AR²h – Ar²h

Let us factorize the following algebraic expressions:

a³ + 3a²b + 3ab² + b³ – 8

Let us factorize the following algebraic expressions:

8a³ – b³ – 4ax + 2bx

Let us factorize the following algebraic expressions:

x³ – 6x² + 12x – 35

Questions · 65

8. Factorisation

1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3

Let us factorize the following algebraic expressions:32x4 – 500x