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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

4 x^{2} \cdot x^{3}

(- 7 x^{2} + 4 x + 2) - (- 4 x + 1)

6 y (5 - \frac{11}{8} y)

\frac{15 s g}{- 5 g}

\frac{28}{9}

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