Math, asked by kamahapatra1973, 1 day ago

Multiply (x - xy – x²y) by (y – xy - y²x).

Answers

Answered by mahakulkarpooja615
0

Answer:

xy-x^{2} y-xy^{2} -x^{2} y^{2} +x^{3} y^{2} +2x^{3} y^{3}

Step-by-step explanation:

  • The given terms are (x-xy-x^{2} y) and (y-xy-y^{2} x)
  • We have to find out the product of these two given terms.
  • Solution : First, open the brackets, we get

(x-xy-x^{2} y)*(y-xy-y^{2} x) = xy-x^{2} y-x^{2}y^{2} -xy^{2}+x^{2} y^{2} +x^{3}y^{3}  -x^{2} y^{2}+x^{3} y^{2} + x^{3} y^{3}

  • On solving the above equation, we get

                       = xy-x^{2} y-xy^{2} -x^{2} y^{2} +x^{3} y^{2} +2x^{3} y^{3}

Answered by junaida8080
0

Answer:

The product after multiplication is

x^{3}y^{3}+x^{3}y^{2}+x^{2}y^{3}-x^{2}y^{2}-x^{2}y-xy^{2}+xy.

Step-by-step explanation:

Given terms are (x-xy-x^{2}y) and (y-xy-y^{2}x).

We have to multiply the given terms.

While multiplication of these type of terms, we use distributive property of multiplication.

First we take the term (y-xy-y^{2}x) as one entity and multiply with the other term.

(x-xy-x^{2}y)(y-xy-y^{2}x)

Now applying the distributive property,

x(y-xy-y^{2}x)-xy(y-xy-y^{2}x)-x^{2}y(y-xy-y^{2}x)

Again use the distributive property for each term,

=xy-x^{2}y-x^{2}y^{2}-xy^{2}+x^{2}y^{2}+x^{2}y^{3}-x^{2}y^{2}+x^{3}y^{2}+x^{3}y^{3}

=x^{3}y^{3}+x^{3}y^{2}+x^{2}y^{3}-x^{2}y^{2}-x^{2}y-xy^{2}+xy

The final product after multiplication is

x^{3}y^{3}+x^{3}y^{2}+x^{2}y^{3}-x^{2}y^{2}-x^{2}y-xy^{2}+xy.

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