Q. 125.0( 1 Vote )

Resolve each of t

Answer :

Here, coefficient of x2 = 6, coefficient of x = -5y and constant term = - 6y2

We shall now split up the coefficient of middle term i.e., -5y into two parts whose sum is -5y and product is 6 (-6y2) = - 36y2


Clearly,


4y – 9y = -5y and,


(4y) (-9y) = - 36y2


So, we replace middle term -5xy = 4xy – 9xy


Thus, we have


6x2 -5xy- 6y2 = 6x2 + 4xy - 9xy - 6y2


= (2x – 3y) (3x + 2y)


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