Question

Add the following polynomials -4x^2+3xy-y^2 with -7x^2-Xy+6y^2 and x^2+4xy-2y^2

Answer 1

The addition of the given polynomials gives $-10 x^2+6xy+3y^2$

Addition of Polynomials

From the question, we are to add the given polynomials

The given polynomials are

-4x^2+3xy-y^2 and -7x^2-Xy+6y^2 and x^2+4xy-2y^24

This can be rewritten as

$-4x^2+3xy-y^2\ and \ -7x^2-xy+6y^2 \ and \ x^2+4xy-2y^2$

That is,

$-4x^2+3xy-y^2 + (-7x^2-xy+6y^2) + x^2+4xy-2y^2$

$-4x^2+3xy-y^2 -7x^2-xy+6y^2 + x^2+4xy-2y^2$

Now, collect like terms

$-4x^2-7x^2+ x^2+3xy-xy +4xy-y^2 +6y^2 -2y^2$

Simplifying

$-10 x^2+6xy+3y^2$

Hence, the addition of the given polynomials gives $-10 x^2+6xy+3y^2$

Learn more on Addition of polynomials here: https://brainly.com/question/14905563

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