What is expand (P(x))/((x+1)^3(2x+5)) ?

The solution to expand (P(x))/((x+1)^3(2x+5)) is (Px)/(2x^4+11x^3+21x^2+17x+5)

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expand (P(x))/((x+1)^3(2x+5))

expand

\frac{P ( x )}{( x + 1 ) ^{3} ( 2 x + 5 )}

\frac{P x}{2 x ^{4} + 11 x ^{3} + 21 x ^{2} + 17 x + 5}

Solution steps

\frac{P ( x )}{( x + 1 ) ^{3} ( 2 x + 5 )}

Remove parentheses:

(a) = a

= \frac{P x}{( x + 1 ) ^{3} ( 2 x + 5 )}

(x + 1)^{3} = x^{3} + 3 x^{2} + 3 x + 1

= \frac{P x}{( x ^{3} + 3 x ^{2} + 3 x + 1 ) ( 2 x + 5 )}

Expand

(x^{3} + 3 x^{2} + 3 x + 1) (2 x + 5) : 2 x^{4} + 11 x^{3} + 21 x^{2} + 17 x + 5

= \frac{P x}{2 x ^{4} + 11 x ^{3} + 21 x ^{2} + 17 x + 5}

- 6 \cdot (5 e^{- 2 x} + 7 e^{3 x})

(a e^{x} + a e^{- x} + a e^{2 x} + 3)^{3}

26 e^{- 13 x} + 13 (2 - 2 e^{- 13 x}) - 26

\frac{d x}{( 25 x ^{2} + 9 ) s}

\frac{40 ( 2 15 - 3 )}{17}

What is expand (P(x))/((x+1)^3(2x+5)) ?
The solution to expand (P(x))/((x+1)^3(2x+5)) is (Px)/(2x^4+11x^3+21x^2+17x+5)