factorize 4x²+2x-3y+9y²-12xy
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The given polynomial can be factorized in two ways :
1 ) By using the formula
( a - b ) = a^2 + b^2 - 2ab
=> 4x^2 + 9y^2 - 12xy
=> ( 2x )^2 + ( 3y )^2 - 2 ( 2x ) ( 3y )
=> ( 2x - 3y )^2 OR
=> ( 2x - 3y ) ( 2x - 3y )
=> (2x-3y)^2
1 ) By using the formula
( a - b ) = a^2 + b^2 - 2ab
=> 4x^2 + 9y^2 - 12xy
=> ( 2x )^2 + ( 3y )^2 - 2 ( 2x ) ( 3y )
=> ( 2x - 3y )^2 OR
=> ( 2x - 3y ) ( 2x - 3y )
=> (2x-3y)^2
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Answer:
4x2+2x-3y+9y2-12xy
(4x2+9y2-12xy)+(2x-3y)
(2x-3y)2+(2x-3y)
(2x-3y)[(2x-3y)+1)]
(2x-3y)(2x-3y+1)
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