Find each of the following products:
(i) (4a + 5b) x (5a - 6b) (ii) (6x² - x + 8) × (x² - 3)

Question

Find each of the following products: (i) (4a + 5b) x (5a - 6b) (ii) (6x 2 - x + 8) &#xD7; (x 2 - 3)

Philoid · Accepted Answer

(4a + 5b) x (5a - 6b)

= 4a (5a - 6b) + 5b (5a - 6b)

= 20a² - 24ab + 25ab - 30b²

⁼ 20a² + ab - 30b²

(ii) (6x² - x + 8) × (x² - 3)

(6x² - x + 8) × (x² - 3)

= x² (6x² - x + 8) - 3 (6x² - x + 8)

= 6x⁴ - x³ + 8x² - 18 x² + 3x – 24

6x⁴ - x³ – 10x² + 3x - 24

Find each of the following products:(i) (4a + 5b) x (5a - 6b) (ii) (6x2 - x + 8) × (x2 - 3)