What is expand (x^{10}-5y^2)^2 ?

The solution to expand (x^{10}-5y^2)^2 is x^{20}-10x^{10}y^2+25y^4

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expand (x^{10}-5y^2)^2

expand

(x^{10} - 5 y^{2})^{2}

x^{20} - 10 x^{10} y^{2} + 25 y^{4}

Solution steps

(x^{10} - 5 y^{2})^{2}

Apply Perfect Square Formula:

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

(x^{10} - 5 y^{2})^{2} = (x^{10})^{2} - 2 x^{10} \cdot 5 y^{2} + (5 y^{2})^{2}

= (x^{10})^{2} - 2 x^{10} \cdot 5 y^{2} + (5 y^{2})^{2}

Simplify

(x^{10})^{2} - 2 x^{10} \cdot 5 y^{2} + (5 y^{2})^{2} : x^{20} - 10 x^{10} y^{2} + 25 y^{4}

= x^{20} - 10 x^{10} y^{2} + 25 y^{4}

\frac{( 2 x - 4 )}{3 x} - \frac{( x - 2 )}{3 x}

\frac{0}{cos ( x )}

2. 1^{3}

x + 4^{2}

(2 x^{2} - x - 2) (x^{2} - 6 x + 4)

What is expand (x^{10}-5y^2)^2 ?
The solution to expand (x^{10}-5y^2)^2 is x^{20}-10x^{10}y^2+25y^4