What is expand (3x+2)/((x)(x+4)^2) ?

The solution to expand (3x+2)/((x)(x+4)^2) is (3x+2)/(x^3+8x^2+16x)

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expand (3x+2)/((x)(x+4)^2)

expand

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

\frac{3 x + 2}{x ^{3} + 8 x ^{2} + 16 x}

Solution steps

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

Remove parentheses:

(a) = a

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

(x + 4)^{2} = x^{2} + 8 x + 16

= \frac{3 x + 2}{x ( x ^{2} + 8 x + 16 )}

Expand

x (x^{2} + 8 x + 16) : x^{3} + 8 x^{2} + 16 x

= \frac{3 x + 2}{x ^{3} + 8 x ^{2} + 16 x}

y (4 x + y) d x - 2 (x^{2} - y) d y

d (7 cos (x) + 2 e^{x})

\frac{2 x - 16}{( x + 2 ) ( x - 2 )}

A (5, - 9)

- 8 (11 + c = 0)

What is expand (3x+2)/((x)(x+4)^2) ?
The solution to expand (3x+2)/((x)(x+4)^2) is (3x+2)/(x^3+8x^2+16x)