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

The solution to expand (5x^2+y^4)^2 is 25x^4+10x^2y^4+y^8

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

expand

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

25 x^{4} + 10 x^{2} y^{4} + y^{8}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(5 x^{2})^{2} + 2 \cdot 5 x^{2} y^{4} + (y^{4})^{2} : 25 x^{4} + 10 x^{2} y^{4} + y^{8}

= 25 x^{4} + 10 x^{2} y^{4} + y^{8}

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\frac{tan ^{2} ( x )}{sec ( x )}

What is expand (5x^2+y^4)^2 ?
The solution to expand (5x^2+y^4)^2 is 25x^4+10x^2y^4+y^8