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

The solution to expand (3x+4)/((x+4)(x^2+x-4)^2) is (3x+4)/(x^5+6x^4+x^3-36x^2-16x+64)

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

expand

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

\frac{3 x + 4}{x ^{5} + 6 x ^{4} + x ^{3} - 36 x ^{2} - 16 x + 64}

Solution steps

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

(x^{2} + x - 4)^{2} = x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 16

= \frac{3 x + 4}{( x + 4 ) ( x ^{4} + 2 x ^{3} - 7 x ^{2} - 8 x + 16 )}

Expand

(x + 4) (x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 16) : x^{5} + 6 x^{4} + x^{3} - 36 x^{2} - 16 x + 64

= \frac{3 x + 4}{x ^{5} + 6 x ^{4} + x ^{3} - 36 x ^{2} - 16 x + 64}

\frac{d}{d y} ((M) (2 x + y))

\frac{3600 e ^{- 1.2 t}}{( 1 + 75 e ^{- 1.2 t} ) ^{2}}

(2 x - 3 y)^{2}

- \frac{1}{4} sin^{3} (x) cos (x) + \frac{3}{8} (x - sin (2 x))

What is expand (3x+4)/((x+4)(x^2+x-4)^2) ?
The solution to expand (3x+4)/((x+4)(x^2+x-4)^2) is (3x+4)/(x^5+6x^4+x^3-36x^2-16x+64)