Question Add or subtract the given polynomials in $x$ and $y$ .

Studdy Solution

STEP 1

Assumptions1. We are dealing with polynomial expressions. . The operation to be performed is subtraction.
3. The subtraction operation in polynomials is performed term by term.

STEP 2

Let's write down the given expression.
$\left(9 x^{2} y-5 x y+ x y^{2}\right)-\left( x^{2} y+7 x y+2 x y^{2}\right)$

STEP 3

To subtract one polynomial from another, we subtract the corresponding terms in the two polynomials.
$(9 x^{2} y -3 x^{2} y) - (5 x y -7 x y) + (3 x y^{2} -2 x y^{2})$

STEP 4

Perform the subtraction operation for each pair of corresponding terms.
$6 x^{2} y -12 x y + x y^{2}$ So, the result of the subtraction operation is $6 x^{2} y -12 x y + x y^{2}$ .

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