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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

ln (\frac{1}{e ^{19}})

(18 ab + 2 a)^{2}

3 x^{4}

m^{2} + 8 m + 15

1 \frac{2}{3} + (- \frac{2}{5})

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