Q1 of 65 Page 139

Let us factorize the following algebraic expressions:
t⁹ – 512

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

Given,

t⁹ – 512

= (t³)³ – (8)³

= (t³ – 8) (t⁶ + 8t³ + 64)

= [(t)³ – (2)³] (t⁶ + 8t³ + 64)

= (t – 2) (t² + 2t + 4) (t⁶ + 8t³ + 64)

Let us factorise the following algebraic expressions:

x² – 2x – 22499

Let us factorise the following algebraic expressions:

(x² – y²) (a² – b²) + 4abxy

Let us factorize the following algebraic expressions:

729p⁶ – q⁶

Let us factorize the following algebraic expressions:

8(p – 3)³ + 343

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:t9 – 512