What is expand (6y^2+2x^2-5xy)(3x^2-4y^2+2xy) ?

The solution to expand (6y^2+2x^2-5xy)(3x^2-4y^2+2xy) is -24y^4+6x^4+18y^2x^2+32y^3x-18x^2y^2-11yx^3

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expand (6y^2+2x^2-5xy)(3x^2-4y^2+2xy)

expand

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

- 24 y^{4} + 6 x^{4} + 18 y^{2} x^{2} + 32 y^{3} x - 18 x^{2} y^{2} - 11 y x^{3}

Solution steps

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

Distribute parentheses

= 6 y^{2} \cdot 3 x^{2} + 6 y^{2} (- 4 y^{2}) + 6 y^{2} \cdot 2 x y + 2 x^{2} \cdot 3 x^{2} + 2 x^{2} (- 4 y^{2}) + 2 x^{2} \cdot 2 x y - 5 x y \cdot 3 x^{2} - 5 x y (- 4 y^{2}) - 5 x y \cdot 2 x y

Simplify

6 y^{2} \cdot 3 x^{2} + 6 y^{2} (- 4 y^{2}) + 6 y^{2} \cdot 2 x y + 2 x^{2} \cdot 3 x^{2} + 2 x^{2} (- 4 y^{2}) + 2 x^{2} \cdot 2 x y - 5 x y \cdot 3 x^{2} - 5 x y (- 4 y^{2}) - 5 x y \cdot 2 x y : - 24 y^{4} + 6 x^{4} + 18 y^{2} x^{2} + 32 y^{3} x - 18 x^{2} y^{2} - 11 y x^{3}

= - 24 y^{4} + 6 x^{4} + 18 y^{2} x^{2} + 32 y^{3} x - 18 x^{2} y^{2} - 11 y x^{3}

(x + 7) (x + 1)

(x + 7) (x + 4)

\frac{625}{4}

lo g_{4} (4^{3 x})

\frac{100}{15}

What is expand (6y^2+2x^2-5xy)(3x^2-4y^2+2xy) ?
The solution to expand (6y^2+2x^2-5xy)(3x^2-4y^2+2xy) is -24y^4+6x^4+18y^2x^2+32y^3x-18x^2y^2-11yx^3