What is expand (9e^{9t}-9)^2 ?

The solution to expand (9e^{9t}-9)^2 is 81e^{18t}-162e^{9t}+81

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expand (9e^{9t}-9)^2

expand

(9 e^{9 t} - 9)^{2}

81 e^{18 t} - 162 e^{9 t} + 81

Solution steps

(9 e^{9 t} - 9)^{2}

Apply Perfect Square Formula:

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

a = 9 e^{9 t}, b = 9

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

Simplify

(9 e^{9 t})^{2} - 2 \cdot 9 e^{9 t} \cdot 9 + 9^{2} : 81 e^{18 t} - 162 e^{9 t} + 81

= 81 e^{18 t} - 162 e^{9 t} + 81

\frac{( x - 1 ) ( x - 10 )}{2}

(4 v^{2} y^{2} + 3 y^{2}) (v d y + y d v)

\frac{( n - 2 ) ( n - 3 )}{( n + 2 ) ( n + 1 )}

e^{2 - t} u (t - 2)

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

What is expand (9e^{9t}-9)^2 ?
The solution to expand (9e^{9t}-9)^2 is 81e^{18t}-162e^{9t}+81