What is expand (xy-2c^4)^2 ?

The solution to expand (xy-2c^4)^2 is x^2y^2-4xc^4y+4c^8

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expand (xy-2c^4)^2

expand

(x y - 2 c^{4})^{2}

x^{2} y^{2} - 4 x c^{4} y + 4 c^{8}

Solution steps

(x y - 2 c^{4})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

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

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

Simplify

(x y)^{2} - 2 x y \cdot 2 c^{4} + (2 c^{4})^{2} : x^{2} y^{2} - 4 x c^{4} y + 4 c^{8}

= x^{2} y^{2} - 4 x c^{4} y + 4 c^{8}

- x^{2} - 6 x - 3

x y^{- 1}

(5 x^{2} + 4 x) - (8 x + 4)

4. 4^{2}

7 a^{2} b^{2} + 3 a b^{3}

What is expand (xy-2c^4)^2 ?
The solution to expand (xy-2c^4)^2 is x^2y^2-4xc^4y+4c^8