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

The solution to (y^3-7x^4y^4)+(-10x^4y^3+6y^3+4x^4y^4)-(x^4y^3+6x^4y^4) is -11x^4y^3-9x^4y^4+7y^3

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

simplify

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

- 11 x^{4} y^{3} - 9 x^{4} y^{4} + 7 y^{3}

Solution steps

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

Simplify

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

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

Group like terms

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

Add similar elements:

y^{3} + 6 y^{3} = 7 y^{3}

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

Add similar elements:

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

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

Apply the distributive law:

- (a + b) = - a - b

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

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

Group like terms

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

Add similar elements:

- x^{4} y^{3} - 10 x^{4} y^{3} = - 11 x^{4} y^{3}

= - 11 x^{4} y^{3} - 6 x^{4} y^{4} - 3 x^{4} y^{4} + 7 y^{3}

Add similar elements:

- 6 x^{4} y^{4} - 3 x^{4} y^{4} = - 9 x^{4} y^{4}

= - 11 x^{4} y^{3} - 9 x^{4} y^{4} + 7 y^{3}

8 + 7

- 8 + 4 y = - 20

9 n^{2} - 64

0. 1^{3}

5 < \frac{x - 2}{6} < 6

What is (y^3-7x^4y^4)+(-10x^4y^3+6y^3+4x^4y^4)-(x^4y^3+6x^4y^4) ?
The solution to (y^3-7x^4y^4)+(-10x^4y^3+6y^3+4x^4y^4)-(x^4y^3+6x^4y^4) is -11x^4y^3-9x^4y^4+7y^3