What is expand (4(x^2+6))/((1-2x)(2+x)^2) ?

The solution to expand (4(x^2+6))/((1-2x)(2+x)^2) is (4x^2+24)/(-2x^3-7x^2-4x+4)

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expand (4(x^2+6))/((1-2x)(2+x)^2)

expand

\frac{4 ( x ^{2} + 6 )}{( 1 - 2 x ) ( 2 + x ) ^{2}}

\frac{4 x ^{2} + 24}{- 2 x ^{3} - 7 x ^{2} - 4 x + 4}

Solution steps

\frac{4 ( x ^{2} + 6 )}{( 1 - 2 x ) ( 2 + x ) ^{2}}

(2 + x)^{2} = 4 + 4 x + x^{2}

= \frac{4 ( x ^{2} + 6 )}{( - 2 x + 1 ) ( x ^{2} + 4 x + 4 )}

Expand

(1 - 2 x) (4 + 4 x + x^{2}) : - 2 x^{3} - 7 x^{2} - 4 x + 4

= \frac{4 ( x ^{2} + 6 )}{- 2 x ^{3} - 7 x ^{2} - 4 x + 4}

Expand

4 (x^{2} + 6) : 4 x^{2} + 24

= \frac{4 x ^{2} + 24}{- 2 x ^{3} - 7 x ^{2} - 4 x + 4}

4 sin (\frac{π}{3} (x - 2)) + 8

a (e^{- ik x} - e^{ik x})

e^{4 t} cos (4 t) (sin (4 t) - cos (4 t))

(a - b) (b - c) (c - d) (d - e) (a - e)

(4, 3, 10) y (5, - 3, 2)

What is expand (4(x^2+6))/((1-2x)(2+x)^2) ?
The solution to expand (4(x^2+6))/((1-2x)(2+x)^2) is (4x^2+24)/(-2x^3-7x^2-4x+4)