What is (x^4+8x^3)/(x^2+5x-24) ?

The solution to (x^4+8x^3)/(x^2+5x-24) is (x^3)/(x-3)

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simplify (x^4+8x^3)/(x^2+5x-24)

simplify

\frac{x ^{4} + 8 x ^{3}}{x ^{2} + 5 x - 24}

\frac{x ^{3}}{x - 3}

Solution steps

\frac{x ^{4} + 8 x ^{3}}{x ^{2} + 5 x - 24}

Factor

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

= \frac{x ^{3} ( x + 8 )}{x ^{2} + 5 x - 24}

Factor

x^{2} + 5 x - 24 : (x - 3) (x + 8)

= \frac{x ^{3} ( x + 8 )}{( x - 3 ) ( x + 8 )}

Cancel the common factor:

x + 8

= \frac{x ^{3}}{x - 3}

1 \times 2

4 \times 9

lo g_{10} (3) (81)

lo g_{5} (0.000064)

What is (x^4+8x^3)/(x^2+5x-24) ?
The solution to (x^4+8x^3)/(x^2+5x-24) is (x^3)/(x-3)