Question

6. Express the following as the difference of two squares and then factorize.
(a) x2 –5x + 6
(b) 25x2 + 20x + 3 (c) 3x2 – 12x + 9​

Answer 1

Step-by-step explanation:

1 = x^2 - 5x + 6

= x^2 -3x - 2x + 6

= x(x-3) -2 ( x-3)

= (x-2)(x-3)

ANS.

2= 25x^2 + 20x + 3

= 25x^2 + 15x + 5x + 3

= 5x(5x + 3 ) + 1 (5x + 3)

= (5x+1)(5x+3)

ANS.

3= 3x^2 - 12x + 9

3x^2 - 9x - 3x + 9

3x(x - 3) -3(x-3)

(3x-3)(x-3)

ANS.