Question

4a²+1/a²=2 then 8a³+1/a³=?​

Answer 1

Answer:

Factorisation of Algebraic Expressions

Question 1.

Factorize

i. y³ – 27

ii. x³ – 64y³

iii. 27m³ – 216n³

iv. 125y³ – 1

v. 8p3−27p3

vi. 343a³ – 512b³

vii. 64x³ – 729y³

viii. 16a3−128b3

Solution:

i. y³ – 27

= y³ – (3)³

Here, a = y and b = 3

∴ y³ – 27 = (y – 3)[y² + y(3) + (3)2]

…[∵ a³ – b³ = (a – b) (a² + ab + b²)]

= (y – 3)(y² + 3y + 9)

ii. x³ – 64y³