What is expand (3x+5)/((x+2)^2(x^2+2)) ?

The solution to expand (3x+5)/((x+2)^2(x^2+2)) is (3x+5)/(x^4+6x^2+4x^3+8x+8)

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expand (3x+5)/((x+2)^2(x^2+2))

expand

\frac{3 x + 5}{( x + 2 ) ^{2} ( x ^{2} + 2 )}

\frac{3 x + 5}{x ^{4} + 6 x ^{2} + 4 x ^{3} + 8 x + 8}

Solution steps

\frac{3 x + 5}{( x + 2 ) ^{2} ( x ^{2} + 2 )}

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

= \frac{3 x + 5}{( x ^{2} + 4 x + 4 ) ( x ^{2} + 2 )}

Expand

(x^{2} + 4 x + 4) (x^{2} + 2) : x^{4} + 6 x^{2} + 4 x^{3} + 8 x + 8

= \frac{3 x + 5}{x ^{4} + 6 x ^{2} + 4 x ^{3} + 8 x + 8}

10 x (2 - ln (x))

\frac{5 ( 9 - 201 )}{3}

l (t - 1) 2 e^{3} t

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

\frac{6 ^{n}}{( 3 ^{n + 1} - 2 ^{n + 1} ) ( 3 ^{n} - 2 ^{n} )}

What is expand (3x+5)/((x+2)^2(x^2+2)) ?
The solution to expand (3x+5)/((x+2)^2(x^2+2)) is (3x+5)/(x^4+6x^2+4x^3+8x+8)