What is expand (5x^2-7y^2-4xy)(3x-2y) ?

The solution to expand (5x^2-7y^2-4xy)(3x-2y) is 15x^3-22x^2y-13xy^2+14y^3

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expand (5x^2-7y^2-4xy)(3x-2y)

expand

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

15 x^{3} - 22 x^{2} y - 13 x y^{2} + 14 y^{3}

Solution steps

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

Distribute parentheses

= 5 x^{2} \cdot 3 x + 5 x^{2} (- 2 y) - 7 y^{2} \cdot 3 x - 7 y^{2} (- 2 y) - 4 x y \cdot 3 x - 4 x y (- 2 y)

Simplify

5 x^{2} \cdot 3 x + 5 x^{2} (- 2 y) - 7 y^{2} \cdot 3 x - 7 y^{2} (- 2 y) - 4 x y \cdot 3 x - 4 x y (- 2 y) : 15 x^{3} - 22 x^{2} y - 13 x y^{2} + 14 y^{3}

= 15 x^{3} - 22 x^{2} y - 13 x y^{2} + 14 y^{3}

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

(3 x + 7) (x + 8)

1 0^{8}

\frac{( 4 a ^{2} h ^{2} - 8 a ^{3} h + 3 a ^{4} )}{( 2 a ^{2} )}

(x + 8) (x - 7)

What is expand (5x^2-7y^2-4xy)(3x-2y) ?
The solution to expand (5x^2-7y^2-4xy)(3x-2y) is 15x^3-22x^2y-13xy^2+14y^3