What is expand (9b^5-e^2)^2 ?

The solution to expand (9b^5-e^2)^2 is 81b^{10}-18e^2b^5+e^4

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expand (9b^5-e^2)^2

expand

(9 b^{5} - e^{2})^{2}

81 b^{10} - 18 e^{2} b^{5} + e^{4}

Solution steps

(9 b^{5} - e^{2})^{2}

Apply Perfect Square Formula:

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

a = 9 b^{5}, b = e^{2}

= (9 b^{5})^{2} - 2 \cdot 9 b^{5} e^{2} + (e^{2})^{2}

Simplify

(9 b^{5})^{2} - 2 \cdot 9 b^{5} e^{2} + (e^{2})^{2} : 81 b^{10} - 18 e^{2} b^{5} + e^{4}

= 81 b^{10} - 18 e^{2} b^{5} + e^{4}

- \frac{h + 2 x}{x ^{2} ( h + x ) ^{2}}

\frac{x - 1 - 1}{x ( x + 1 )}

\frac{20 ( - 1 + e ^{2} )}{e}

\frac{600 n}{w ( 0.6 n + 169 )}

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

What is expand (9b^5-e^2)^2 ?
The solution to expand (9b^5-e^2)^2 is 81b^{10}-18e^2b^5+e^4