What is expand (m^5+5n^4)^2 ?

The solution to expand (m^5+5n^4)^2 is m^{10}+10m^5n^4+25n^8

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expand (m^5+5n^4)^2

expand

(m^{5} + 5 n^{4})^{2}

m^{10} + 10 m^{5} n^{4} + 25 n^{8}

Solution steps

(m^{5} + 5 n^{4})^{2}

Apply Perfect Square Formula:

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

(m^{5} + 5 n^{4})^{2} = (m^{5})^{2} + 2 m^{5} \cdot 5 n^{4} + (5 n^{4})^{2}

= (m^{5})^{2} + 2 m^{5} \cdot 5 n^{4} + (5 n^{4})^{2}

Simplify

(m^{5})^{2} + 2 m^{5} \cdot 5 n^{4} + (5 n^{4})^{2} : m^{10} + 10 m^{5} n^{4} + 25 n^{8}

= m^{10} + 10 m^{5} n^{4} + 25 n^{8}

(x - 5) (x^{2} - 1)

80 x^{2}

25 y^{2} - 9

4 m^{2} n^{2} - 4 m n^{3}

4 x^{2} + 21 x + 131 + \frac{792}{x + 6}

What is expand (m^5+5n^4)^2 ?
The solution to expand (m^5+5n^4)^2 is m^{10}+10m^5n^4+25n^8