What is expand (27^x+9^x-20*3^x)/(3^x(3^x-4)) ?

The solution to expand (27^x+9^x-20*3^x)/(3^x(3^x-4)) is (27^x+9^x-20*3^x)/(9^x-4*3^x)

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expand (27^x+9^x-20*3^x)/(3^x(3^x-4))

expand

\frac{2 7 ^{x} + 9 ^{x} - 20 \cdot 3 ^{x}}{3 ^{x} ( 3 ^{x} - 4 )}

\frac{2 7 ^{x} + 9 ^{x} - 20 \cdot 3 ^{x}}{9 ^{x} - 4 \cdot 3 ^{x}}

Solution steps

\frac{2 7 ^{x} + 9 ^{x} - 20 \cdot 3 ^{x}}{3 ^{x} ( 3 ^{x} - 4 )}

Expand

3^{x} (3^{x} - 4) : 9^{x} - 4 \cdot 3^{x}

= \frac{2 7 ^{x} + 9 ^{x} - 20 \cdot 3 ^{x}}{9 ^{x} - 4 \cdot 3 ^{x}}

\frac{( b ^{2} + ab + b c + a c ) ( a + c )}{3 ab c}

\frac{x ^{2} - 4}{( x - 1 ) ^{2}}

\frac{( a ^{2} + 4 ) ^{2}}{4 a}

A (2, 4) B (- 8, - 12)

\frac{- 2 e ^{- x^{2}} x ^{3} - 4 e ^{- x^{2}}}{( x ^{2} + 1 ) ^{e}}

What is expand (27^x+9^x-20*3^x)/(3^x(3^x-4)) ?
The solution to expand (27^x+9^x-20*3^x)/(3^x(3^x-4)) is (27^x+9^x-20*3^x)/(9^x-4*3^x)