What is (xy^2-3x^2-y^2+x^2y)+(x^2y+5x^2)+(3xy^2-y^2-5x^2) ?

The solution to (xy^2-3x^2-y^2+x^2y)+(x^2y+5x^2)+(3xy^2-y^2-5x^2) is -3x^2+4xy^2-2y^2+2x^2y

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simplify (xy^2-3x^2-y^2+x^2y)+(x^2y+5x^2)+(3xy^2-y^2-5x^2)

simplify

(x y^{2} - 3 x^{2} - y^{2} + x^{2} y) + (x^{2} y + 5 x^{2}) + (3 x y^{2} - y^{2} - 5 x^{2})

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

Solution steps

(x y^{2} - 3 x^{2} - y^{2} + x^{2} y) + (x^{2} y + 5 x^{2}) + (3 x y^{2} - y^{2} - 5 x^{2})

Simplify

(x y^{2} - 3 x^{2} - y^{2} + x^{2} y) + (x^{2} y + 5 x^{2}) + (3 x y^{2} - y^{2} - 5 x^{2}) : x y^{2} - 3 x^{2} - y^{2} + x^{2} y + x^{2} y + 5 x^{2} + 3 x y^{2} - y^{2} - 5 x^{2}

= x y^{2} - 3 x^{2} - y^{2} + x^{2} y + x^{2} y + 5 x^{2} + 3 x y^{2} - y^{2} - 5 x^{2}

Add similar elements:

x^{2} y + x^{2} y = 2 x^{2} y

= x y^{2} - 3 x^{2} - y^{2} + 2 x^{2} y + 5 x^{2} + 3 x y^{2} - y^{2} - 5 x^{2}

Group like terms

= - 3 x^{2} + 5 x^{2} - 5 x^{2} + x y^{2} + 3 x y^{2} - y^{2} - y^{2} + 2 x^{2} y

Add similar elements:

- 3 x^{2} + 5 x^{2} - 5 x^{2} = - 3 x^{2}

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

Add similar elements:

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

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

Add similar elements:

- y^{2} - y^{2} = - 2 y^{2}

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

\frac{- 8}{1}

\frac{6}{7} \div 4

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

\frac{2}{5} + \frac{5}{8}

\frac{3 x ^{- 3} + 4 x}{2 x - x ^{- 2}}

What is (xy^2-3x^2-y^2+x^2y)+(x^2y+5x^2)+(3xy^2-y^2-5x^2) ?
The solution to (xy^2-3x^2-y^2+x^2y)+(x^2y+5x^2)+(3xy^2-y^2-5x^2) is -3x^2+4xy^2-2y^2+2x^2y