What is (4x^2y^3+2xy^2-2y)-(-7x^2y^3+6xy^2-2y) ?

The solution to (4x^2y^3+2xy^2-2y)-(-7x^2y^3+6xy^2-2y) is 11x^2y^3-4xy^2

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simplify (4x^2y^3+2xy^2-2y)-(-7x^2y^3+6xy^2-2y)

simplify

(4 x^{2} y^{3} + 2 x y^{2} - 2 y) - (- 7 x^{2} y^{3} + 6 x y^{2} - 2 y)

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

Solution steps

(4 x^{2} y^{3} + 2 x y^{2} - 2 y) - (- 7 x^{2} y^{3} + 6 x y^{2} - 2 y)

Apply rule:

(a) = a

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

= 4 x^{2} y^{3} + 2 x y^{2} - 2 y - (- 7 x^{2} y^{3} + 6 x y^{2} - 2 y)

Apply the distributive law:

- (- a + b) = a - b

- (- 7 x^{2} y^{3} + 6 x y^{2} - 2 y) = 7 x^{2} y^{3} - 6 x y^{2} + 2 y

= 4 x^{2} y^{3} + 2 x y^{2} - 2 y + 7 x^{2} y^{3} - 6 x y^{2} + 2 y

Group like terms

= 4 x^{2} y^{3} + 7 x^{2} y^{3} + 2 x y^{2} - 6 x y^{2} - 2 y + 2 y

Add similar elements:

4 x^{2} y^{3} + 7 x^{2} y^{3} = 11 x^{2} y^{3}

= 11 x^{2} y^{3} + 2 x y^{2} - 6 x y^{2} - 2 y + 2 y

Add similar elements:

2 x y^{2} - 6 x y^{2} = - 4 x y^{2}

= 11 x^{2} y^{3} - 4 x y^{2} - 2 y + 2 y

Add similar elements:

- 2 y + 2 y = 0

= 11 x^{2} y^{3} - 4 x y^{2}

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y^{6} + 1

What is (4x^2y^3+2xy^2-2y)-(-7x^2y^3+6xy^2-2y) ?
The solution to (4x^2y^3+2xy^2-2y)-(-7x^2y^3+6xy^2-2y) is 11x^2y^3-4xy^2