What is (x^5+8x^3-9)/(x-1) ?

The solution to (x^5+8x^3-9)/(x-1) is x^4+x^3+9x^2+9x+9

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simplify (x^5+8x^3-9)/(x-1)

simplify

\frac{x ^{5} + 8 x ^{3} - 9}{x - 1}

x^{4} + x^{3} + 9 x^{2} + 9 x + 9

Solution steps

\frac{x ^{5} + 8 x ^{3} - 9}{x - 1}

Factor

x^{5} + 8 x^{3} - 9 : (x - 1) (x^{4} + x^{3} + 9 x^{2} + 9 x + 9)

= \frac{( x - 1 ) ( x ^{4} + x ^{3} + 9 x ^{2} + 9 x + 9 )}{x - 1}

Cancel the common factor:

x - 1

= x^{4} + x^{3} + 9 x^{2} + 9 x + 9

\frac{12 x ^{3} + 10 x ^{2} + 5 x + 1}{3 x + 1}

720 - 65

2 \frac{1}{2} + 1 \frac{3}{5}

4^{2.8}

s^{3} + 5 s^{2} + 24 s + 20

What is (x^5+8x^3-9)/(x-1) ?
The solution to (x^5+8x^3-9)/(x-1) is x^4+x^3+9x^2+9x+9