simlify plzz show the steps plzz 5 no. only
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Vaibhava33:
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(x+2y) (-3x-y ) - (x+y) (x-y) + (x-2y) (-2x-y)
= [x(-3x-y) + 2y(-3x-y)] - [x^2- y^2]
{this is because of the identity (x+y)(x-y) = x^2 - y^2}
+ [x(-2x + y) - 2y(-2x + y)
= [-3x^2 -xy - 6xy - 2y^2] - [x^2 - y^2] + [-2x^2 + xy + 4xy - 2y^2]
= -3x^2 -7xy - 2y^2 - x^2 + y^2 - 2x^2 + 5xy - 2y^2
= 6x^2 - 2xy - 3y^2
= [x(-3x-y) + 2y(-3x-y)] - [x^2- y^2]
{this is because of the identity (x+y)(x-y) = x^2 - y^2}
+ [x(-2x + y) - 2y(-2x + y)
= [-3x^2 -xy - 6xy - 2y^2] - [x^2 - y^2] + [-2x^2 + xy + 4xy - 2y^2]
= -3x^2 -7xy - 2y^2 - x^2 + y^2 - 2x^2 + 5xy - 2y^2
= 6x^2 - 2xy - 3y^2
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