Question

Factorize 4x^2+12xy+9y^2-8x-12y,please

Answer 1

Answer:

Step-by-step explanation:

$4x^2+12xy+9y^2-8x-12y\\\\consider\\4x^2+12xy+9y^2\\\\4x^2+6xy+6xy+9y^2\\\\2x(2x+3y)+3y(2x+3y)\\\\(2x+3y)(2x+3y)\\\\let\\4x^2+12xy+9y^2-8x-12y=(2x+3y+l)(2x+3y+m)\\\\4x^2+12xy+9y^2-8x-12y=4x^2+12xy+9y^2+(2m+2l)x+(3m+3l)y+lm\\\\on\;\;comparison\\2m+2l=-8\\m+l=-4\\\\3m+3l=-12\\m+l=-4\\\\ml=0\\either\;\; m=0 \;\;or\;\;l=0\\then\;\; the \;\;other \;\;is\;\; -4\\\\Therefore\\\\\\4x^2+12xy+9y^2-8x-12y=(2x+3y)(2x+3y-4)$

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Answer 2

Answer:

yes yes is right answer it is right answer