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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

30 x^{2} + x - 3

(3 + i)^{9}

\frac{63}{( - 7 )}

3 \cdot 13

7300

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