What is expand (9m^9-5n)^2 ?

The solution to expand (9m^9-5n)^2 is 81m^{18}-90m^9n+25n^2

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expand (9m^9-5n)^2

expand

(9 m^{9} - 5 n)^{2}

81 m^{18} - 90 m^{9} n + 25 n^{2}

Solution steps

(9 m^{9} - 5 n)^{2}

Apply Perfect Square Formula:

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

(9 m^{9} - 5 n)^{2} = (9 m^{9})^{2} - 2 \cdot 9 m^{9} \cdot 5 n + (5 n)^{2}

= (9 m^{9})^{2} - 2 \cdot 9 m^{9} \cdot 5 n + (5 n)^{2}

Simplify

(9 m^{9})^{2} - 2 \cdot 9 m^{9} \cdot 5 n + (5 n)^{2} : 81 m^{18} - 90 m^{9} n + 25 n^{2}

= 81 m^{18} - 90 m^{9} n + 25 n^{2}

20 + 5

\frac{1 - x ^{2}}{x - 1}

\frac{x ^{2}}{4} - x + 1

- \frac{1}{3} (9 y - 12) + 5 y

\frac{4}{3} π (2 r)^{3}

What is expand (9m^9-5n)^2 ?
The solution to expand (9m^9-5n)^2 is 81m^{18}-90m^9n+25n^2