Question

factorise : 4x^2+12xy+9y^2-6x-9y

Answer 1

4x2 + 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)

Answer 2

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