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

The solution to expand (4x^5-y^2)^2 is 16x^{10}-8x^5y^2+y^4

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expand (4x^5-y^2)^2

expand

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

16 x^{10} - 8 x^{5} y^{2} + y^{4}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(4 x^{5})^{2} - 2 \cdot 4 x^{5} y^{2} + (y^{2})^{2} : 16 x^{10} - 8 x^{5} y^{2} + y^{4}

= 16 x^{10} - 8 x^{5} y^{2} + y^{4}

(2 - 2 i) + (2 + 2 i)

- 4 i \cdot 4 i

(y^{- 1})^{- 1}

- 8 + (- 14)

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

What is expand (4x^5-y^2)^2 ?
The solution to expand (4x^5-y^2)^2 is 16x^{10}-8x^5y^2+y^4