What is (x^8+8x^5)/(x^4) ?

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

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simplify (x^8+8x^5)/(x^4)

simplify

\frac{x ^{8} + 8 x ^{5}}{x ^{4}}

x (x + 2) (x^{2} - 2 x + 4)

Solution steps

\frac{x ^{8} + 8 x ^{5}}{x ^{4}}

Factor

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

= \frac{x ^{5} ( x + 2 ) ( x ^{2} - 2 x + 4 )}{x ^{4}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{5} = x^{4} x

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

Cancel the common factor:

x^{4}

= x (x + 2) (x^{2} - 2 x + 4)

\frac{13}{3 + 11}

\frac{6 a}{3 a - 2} - \frac{4}{3 a - 2}

(2 a - z)^{4}

\frac{x}{x + 5}

(x^{2} - 4 x)^{2} - 3 (x^{2} - 4 x) - 10