Q4 of 90 Page 115

If = 4, find the value of
(i) , (ii) .

(i)

Squaring both the sides,

Using the identity, (a – b)² = a² - 2ab + b²

-------------(1)

(ii) Squaring equation (1) using the identities, (a + b)² = a² + 2ab + b²

Find each of the following products:

(i) (4a + 5b) x (5a - 6b) (ii) (6x² - x + 8) × (x² - 3)

Divide (5a³ - 4a² + 3a + 18) by (a² - 2a + 3).

Evaluate {(83)² - (17)²}.

Factorize:

(i) x³ - 3x² + x – 3

(ii)63x²y² - 7

(iii) 1 - 6x + 9x²

(iv)

If = 4, find the value of(i) , (ii) .