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

The solution to expand (3x+7y)(3x^2-4xy+2y^2) is 9x^3+9x^2y-22xy^2+14y^3

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

expand

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

9 x^{3} + 9 x^{2} y - 22 x y^{2} + 14 y^{3}

Solution steps

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

Distribute parentheses

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

Simplify

3 x \cdot 3 x^{2} + 3 x (- 4 x y) + 3 x \cdot 2 y^{2} + 7 y \cdot 3 x^{2} + 7 y (- 4 x y) + 7 y \cdot 2 y^{2} : 9 x^{3} + 9 x^{2} y - 22 x y^{2} + 14 y^{3}

= 9 x^{3} + 9 x^{2} y - 22 x y^{2} + 14 y^{3}

\frac{5 + ( - 1 )}{2}

(x - 4) (x + 4) - (x + 3) (x - 2) + 3 x + 10

\frac{( x - 1 )}{x}

2 (x + 3) (x + 4)

\frac{23}{13}

What is expand (3x+7y)(3x^2-4xy+2y^2) ?
The solution to expand (3x+7y)(3x^2-4xy+2y^2) is 9x^3+9x^2y-22xy^2+14y^3