What is expand (3x-y)(6x^2+5xy-7y^2) ?

The solution to expand (3x-y)(6x^2+5xy-7y^2) is 18x^3+9x^2y-26xy^2+7y^3

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expand (3x-y)(6x^2+5xy-7y^2)

expand

(3 x - y) (6 x^{2} + 5 x y - 7 y^{2})

18 x^{3} + 9 x^{2} y - 26 x y^{2} + 7 y^{3}

Solution steps

(3 x - y) (6 x^{2} + 5 x y - 7 y^{2})

Distribute parentheses

= 3 x \cdot 6 x^{2} + 3 x \cdot 5 x y + 3 x (- 7 y^{2}) - y \cdot 6 x^{2} - y \cdot 5 x y - y (- 7 y^{2})

Simplify

3 x \cdot 6 x^{2} + 3 x \cdot 5 x y + 3 x (- 7 y^{2}) - y \cdot 6 x^{2} - y \cdot 5 x y - y (- 7 y^{2}) : 18 x^{3} + 9 x^{2} y - 26 x y^{2} + 7 y^{3}

= 18 x^{3} + 9 x^{2} y - 26 x y^{2} + 7 y^{3}

(5 m + 2 n)^{3}

- 9 x^{- 1}

19 x^{5}

(9 - 9 i) - (- 7 + 2 i)

What is expand (3x-y)(6x^2+5xy-7y^2) ?
The solution to expand (3x-y)(6x^2+5xy-7y^2) is 18x^3+9x^2y-26xy^2+7y^3