What is expand ((-2)^{x+1}x^2)/((x+1)^2*2^x) ?

The solution to expand ((-2)^{x+1}x^2)/((x+1)^2*2^x) is ((-2)^{x+1}x^2)/(2^xx^2+2^{1+x)x+2^x}

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expand ((-2)^{x+1}x^2)/((x+1)^2*2^x)

expand

\frac{( - 2 ) ^{x + 1} x ^{2}}{( x + 1 ) ^{2} \cdot 2 ^{x}}

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

Solution steps

\frac{( - 2 ) ^{x + 1} x ^{2}}{( x + 1 ) ^{2} \cdot 2 ^{x}}

(x + 1)^{2} = x^{2} + 2 x + 1

= \frac{( - 2 ) ^{x + 1} x ^{2}}{2 ^{x} ( x ^{2} + 2 x + 1 )}

Expand

(x^{2} + 2 x + 1) \cdot 2^{x} : 2^{x} x^{2} + 2^{1 + x} x + 2^{x}

= \frac{( - 2 ) ^{x + 1} x ^{2}}{2 ^{x} x ^{2} + 2 ^{x + 1} x + 2 ^{x}}

(0, 9 + 3, 7 n - (- 11), 2) (3, 8 m^{2} n^{3})

(x - 17)^{2}

\frac{cos ( B ) ( sin ( B ) + 1 )}{1 - sin ( B )}

(2 + 3) (1 + 2)

(- 16 π sin (16 π x) sin (π x) + π cos (π x))^{2}

What is expand ((-2)^{x+1}x^2)/((x+1)^2*2^x) ?
The solution to expand ((-2)^{x+1}x^2)/((x+1)^2*2^x) is ((-2)^{x+1}x^2)/(2^xx^2+2^{1+x)x+2^x}