Question

Factorize 2x^2-5xy+2y^2-px-py-p^2

Answer 1

Given : 2x²-5xy+2y²-px-py-p²

To Find : Factorize

Solution:

2x²-5xy+2y²-px-py-p²

= 2x²-4xy - xy +2y²    -2px +px  -2py + py -p²

=  2x²- 4xy  -2px  -xy  + 2y² + py  + px  - 2py  - p²

= 2x(x - 2y - p) - y(x - 2y - p) + p(x - 2y - p )

= (x - 2y - p )(2x - y + p )

2x²-5xy+2y²-px-py-p² = (x -  2y  -  p )(2 x - y + p)

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