What is (6x^2y)+(3x^2+y^2)-(2x^2y^3-2x^2) ?

The solution to (6x^2y)+(3x^2+y^2)-(2x^2y^3-2x^2) is 6x^2y+5x^2+y^2-2x^2y^3

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simplify (6x^2y)+(3x^2+y^2)-(2x^2y^3-2x^2)

simplify

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

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

Solution steps

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

Simplify

(6 x^{2} y) + (3 x^{2} + y^{2}) - (2 x^{2} y^{3} - 2 x^{2}) : 6 x^{2} y + 3 x^{2} + y^{2} - (2 x^{2} y^{3} - 2 x^{2})

= 6 x^{2} y + 3 x^{2} + y^{2} - (2 x^{2} y^{3} - 2 x^{2})

Apply the distributive law:

- (a - b) = - a + b

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

= 6 x^{2} y + 3 x^{2} + y^{2} - 2 x^{2} y^{3} + 2 x^{2}

Group like terms

= 6 x^{2} y + 3 x^{2} + 2 x^{2} + y^{2} - 2 x^{2} y^{3}

Add similar elements:

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

= 6 x^{2} y + 5 x^{2} + y^{2} - 2 x^{2} y^{3}

5 x^{2} + 36 x - 32

x^{3} x^{\frac{1}{2}}

∣ x + 3 ∣ < 1

5 ab + 10 b^{2}

x^{3} + 8 x^{2} + 5 x - 50

What is (6x^2y)+(3x^2+y^2)-(2x^2y^3-2x^2) ?
The solution to (6x^2y)+(3x^2+y^2)-(2x^2y^3-2x^2) is 6x^2y+5x^2+y^2-2x^2y^3