Question

Factorize (1) 1-64a3
(2) 8a3-27b3
(3) 6x2-5x-21
(4) 1/2x2-2x-9
(5) x4-9y2
(6) 3y3-z3

Answer 1

Answer:

Step-by-step explanation:

Factorize (1) 1-64a3

1 - 64a³

= 1³ - (4a)³

using a³-b³ = (a-b)(a² + b² + ab)

= ( 1 - 4a)(1 + 16a² + 4a)

(2) 8a3-27b3

8a³ - 27b³

= (2a)³ - (3b)³

= (2a - 3b)(4a² + 9b² + 6ab)

(3) 6x2-5x-21

6x² -5x - 21

= 6x² +9x - 14x - 21

= 3x(2x + 3) - 7(2x + 3)

=(3x - 7)(2x + 3)

(5) x4-9y2

x⁴ - 9y²

= (x²)² - (3y)²

= (x² + 3y)(x² - 3y)

(6) 3y3-z3

3y³ - z³

= (√3y)³ - z³

= (√3y - z)(3y² + z² + √3yz)