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

The solution to expand (x+4)/((x+1)^2(x^2+2)) is (x+4)/(x^4+3x^2+2x^3+4x+2)

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

expand

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

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

Solution steps

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

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

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

Expand

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

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

x y d x - (x + 2) d y

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

(2 t - 1) e^{a t}

(a + b)^{2} - 2 a c d + e^{2}

(2 + e^{2 t})^{2}

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