Question

8)Factorize the following expression.
9(6x 9y) +12 (6x + 9y)​

Answer 1

Answer:

Step-by-step explanation:

x2 + 12xy - 6x + 9y2 - 9y - 4

Step by step solution :

Step  1  :

Equation at the end of step  1  :

(((((4•(x2))+12xy)+32y2)-6x)-9y)-4

Step  2  :

Equation at the end of step  2  :

((((22x2 + 12xy) + 32y2) - 6x) - 9y) - 4

Step  3  :

Trying to factor by pulling out :

3.1      Factoring:  4x2+12xy-6x+9y2-9y-4  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  9y2-9y  

Group 2:  12xy+4x2  

Group 3:  -6x-4  

Pull out from each group separately :

Group 1:   (y-1) • (9y)

Group 2:   (x+3y) • (4x)

Group 3:   (3x+2) • (-2)

Looking for common sub-expressions :  

Group 1:   (y-1) • (9y)

Group 3:   (3x+2) • (-2)

Group 2:   (x+3y) • (4x)