What is (4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2) ?

The solution to (4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2) is x^2+14x^3y^2-6x

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simplify (4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)

simplify

(4 x^{2} + 7 x^{3} y^{2}) - (- 6 x^{2} - 7 x^{3} y^{2} - 4 x) - (10 x + 9 x^{2})

x^{2} + 14 x^{3} y^{2} - 6 x

Solution steps

(4 x^{2} + 7 x^{3} y^{2}) - (- 6 x^{2} - 7 x^{3} y^{2} - 4 x) - (10 x + 9 x^{2})

Apply rule:

(a) = a

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

= 4 x^{2} + 7 x^{3} y^{2} - (- 6 x^{2} - 7 x^{3} y^{2} - 4 x) - (10 x + 9 x^{2})

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

- (10 x + 9 x^{2}) = - 10 x - 9 x^{2}

= 4 x^{2} + 7 x^{3} y^{2} + 6 x^{2} + 7 x^{3} y^{2} + 4 x - 10 x - 9 x^{2}

Add similar elements:

4 x - 10 x = - 6 x

= 4 x^{2} + 7 x^{3} y^{2} + 6 x^{2} + 7 x^{3} y^{2} - 6 x - 9 x^{2}

Group like terms

= 4 x^{2} + 6 x^{2} - 9 x^{2} + 7 x^{3} y^{2} + 7 x^{3} y^{2} - 6 x

Add similar elements:

4 x^{2} + 6 x^{2} - 9 x^{2} = x^{2}

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

Add similar elements:

7 x^{3} y^{2} + 7 x^{3} y^{2} = 14 x^{3} y^{2}

= x^{2} + 14 x^{3} y^{2} - 6 x

5 t^{2} = 26 t + 24

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

4 m^{2} - 5 m = 8

4 p + 1 > - 7 or 6 p + 3 < 33

2 x + 5 \geq 3 - 7 x

What is (4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2) ?
The solution to (4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2) is x^2+14x^3y^2-6x