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

The solution to expand (5x^2-y^5)^2 is 25x^4-10x^2y^5+y^{10}

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

expand

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

25 x^{4} - 10 x^{2} y^{5} + y^{10}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(5 x^{2})^{2} - 2 \cdot 5 x^{2} y^{5} + (y^{5})^{2} : 25 x^{4} - 10 x^{2} y^{5} + y^{10}

= 25 x^{4} - 10 x^{2} y^{5} + y^{10}

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

12 + 63 + 26

\frac{1 - a ^{3}}{1 - a}

\frac{243}{4}

2^{5} \cdot 3^{- 5}

What is expand (5x^2-y^5)^2 ?
The solution to expand (5x^2-y^5)^2 is 25x^4-10x^2y^5+y^{10}