Question

Simplify : x (2x - xy) - 2y (3y - 2x^2y) + x^2 (1 + y^2)
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Answer 1

Step-by-step explanation:

(x+y)(2x+y)+(x+2y)(x−y)

=x(2x+y)+y(2x+y)+x(x−y)+2y(x−y)

=2x

2

+xy+2xy+y

2

+x

2

−xy+2xy−2y

2

=(2+1)x

2

+(1+2−1+2)xy+(1−2)y

2

=3x

2

+4xy−y

2

Hope this will help you

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Answer 2

=x (2x - xy) - 2y (3y - 2x^2y) + x^2 (1 + y^2)

=first multiply brackets

=2x²-x²y-6y²+4x²y²+x²+x²y²

=add and substracts like terms

(-x²y² and x²y² will be cancled bcuz they have oppo sign)

=3x²-6y²+4x²y²