Question

factorise 36xsquare + 36x + 8​

Answer 1

Answer:

${36x}^{2} + 36x + 8$

${36x}^{2} + (24 + 12)x + 8$

${36x}^{2} + 24x + 12x + 8$

$12x(3x + 2) + 4(3x + 2)$

$(3x + 2)(12x + 4)$

Ans. (3x + 2) (12x + 4)

Hope it helps.

Answer 2

Answer:

$36x^2 + 36x + 8= 4(3x + 2) (3x + 1)$

Step-by-step explanation:

$36x^2 + 36x + 8$

Find common 4 we get

$= 4 (9x^2 + 9x + 2)$

Find the number whose product is 18 and sum is 9.

The numbers are 3 and 6

$= 4(9x^2 + 3x + 6x + 2)\\= 4[3x (3x + 1) + 2 (3x + 1)]\\= 4(3x + 2) (3x + 1)$