What is (5xy^2+3x^2-7)+(3x^2y^2-xy^2+3y^2+4) ?

The solution to (5xy^2+3x^2-7)+(3x^2y^2-xy^2+3y^2+4) is 3x^2+4xy^2+3x^2y^2+3y^2-3

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simplify (5xy^2+3x^2-7)+(3x^2y^2-xy^2+3y^2+4)

simplify

(5 x y^{2} + 3 x^{2} - 7) + (3 x^{2} y^{2} - x y^{2} + 3 y^{2} + 4)

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

Solution steps

(5 x y^{2} + 3 x^{2} - 7) + (3 x^{2} y^{2} - x y^{2} + 3 y^{2} + 4)

Simplify

(5 x y^{2} + 3 x^{2} - 7) + (3 x^{2} y^{2} - x y^{2} + 3 y^{2} + 4) : 5 x y^{2} + 3 x^{2} - 7 + 3 x^{2} y^{2} - x y^{2} + 3 y^{2} + 4

= 5 x y^{2} + 3 x^{2} - 7 + 3 x^{2} y^{2} - x y^{2} + 3 y^{2} + 4

Group like terms

= 3 x^{2} + 5 x y^{2} - x y^{2} + 3 x^{2} y^{2} + 3 y^{2} - 7 + 4

Add similar elements:

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

= 3 x^{2} + 4 x y^{2} + 3 x^{2} y^{2} + 3 y^{2} - 7 + 4

Add the numbers:

- 7 + 4 = - 3

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

(\frac{2 ^{5}}{2 ^{3}})^{2}

2 x (7 + 2 x)

x + \frac{1}{4}

60 \cdot \frac{2}{3}

\frac{5}{m} - \frac{m + 8}{m ^{2} - 4 m}

What is (5xy^2+3x^2-7)+(3x^2y^2-xy^2+3y^2+4) ?
The solution to (5xy^2+3x^2-7)+(3x^2y^2-xy^2+3y^2+4) is 3x^2+4xy^2+3x^2y^2+3y^2-3