What is expand a^2(2x-4y)^2-b^2(2y-x)^2 ?

The solution to expand a^2(2x-4y)^2-b^2(2y-x)^2 is 4a^2x^2-16xa^2y+16a^2y^2-4b^2y^2+4xyb^2-b^2x^2

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expand a^2(2x-4y)^2-b^2(2y-x)^2

expand

a^{2} (2 x - 4 y)^{2} - b^{2} (2 y - x)^{2}

4 a^{2} x^{2} - 16 x a^{2} y + 16 a^{2} y^{2} - 4 b^{2} y^{2} + 4 x y b^{2} - b^{2} x^{2}

Solution steps

a^{2} (2 x - 4 y)^{2} - b^{2} (2 y - x)^{2}

Expand

a^{2} (2 x - 4 y)^{2} : 4 a^{2} x^{2} - 16 x a^{2} y + 16 a^{2} y^{2}

= 4 a^{2} x^{2} - 16 x a^{2} y + 16 a^{2} y^{2} - b^{2} (2 y - x)^{2}

Expand

- b^{2} (2 y - x)^{2} : - 4 b^{2} y^{2} + 4 x y b^{2} - b^{2} x^{2}

= 4 a^{2} x^{2} - 16 x a^{2} y + 16 a^{2} y^{2} - 4 b^{2} y^{2} + 4 x y b^{2} - b^{2} x^{2}

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

(- 4 - 4) y (8.1)

6 m^{2} + 10 m - 82

125 a^{5} b^{2} - 27 a^{2} b^{5}

(y + 0.2) (y + 0.5)

What is expand a^2(2x-4y)^2-b^2(2y-x)^2 ?
The solution to expand a^2(2x-4y)^2-b^2(2y-x)^2 is 4a^2x^2-16xa^2y+16a^2y^2-4b^2y^2+4xyb^2-b^2x^2