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Addition and Subtraction of Algebraic Expressions

g Subtract: x...

Question

Question 58 (g)

Subtract:

$x^{3} y^{2} + 3 x^{2} y^{2} - 7 x y^{3}$ from $x^{4} + y^{4} + 3 x^{2} y^{2} - x y^{3} .$

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Solution

We have,
$x^{4} + y^{4} + 3 x^{2} y^{2} - x y^{3} - (x^{3} y^{3} + 3 x^{2} y^{2} - 7 x y^{3}) = x^{4} + y^{4} + 3 x^{2} y^{2} - x y^{3} - x^{3} y^{3} - 3 x^{2} y^{2} + 7 x y^{3}$
On combining the like terms.
$= x^{4} + y^{4} + 3 x^{2} y^{2} - 3 x^{2} y^{2} - x y^{3} + 7 x y^{3} - x^{3} y^{3} = x^{4} + y^{4} + 6 x y^{3} - x^{3} y^{3}$

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Similar questions

x^{4} + y^{4} - 3 x^{2} y^{2}

Question 56 (b)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$x^{4} + 3 x^{3} y + 3 x^{2} y^{2} - 3 x^{3} y - 3 x y^{2} + y^{4} - 3 x^{2} y^{2}$

x^{4} + y^{4} - 3 x^{2} y^{2} .

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

x^{2} y^{2}

- 4 x^{2} y^{2}

- 2 x^{2} y^{2}

2 x^{2} y^{2}

4 x^{2} y^{2}

x^{3} y - x y^{3}, x^{4} - 2 x^{2} y^{2} + y^{4}

x^{4} - y^{4}

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