What is (9x^5+9x^4+45x^3)/(9x^2) ?

The solution to (9x^5+9x^4+45x^3)/(9x^2) is x(x^2+x+5)

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simplify (9x^5+9x^4+45x^3)/(9x^2)

simplify

\frac{9 x ^{5} + 9 x ^{4} + 45 x ^{3}}{9 x ^{2}}

x (x^{2} + x + 5)

Solution steps

\frac{9 x ^{5} + 9 x ^{4} + 45 x ^{3}}{9 x ^{2}}

Factor

9 x^{5} + 9 x^{4} + 45 x^{3} : 9 x^{3} (x^{2} + x + 5)

= \frac{9 x ^{3} ( x ^{2} + x + 5 )}{9 x ^{2}}

Cancel the common factor:

9

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

Apply exponent rule:

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

x^{3} = x^{2} x

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

Cancel the common factor:

x^{2}

= x (x^{2} + x + 5)

3 \frac{8}{9}

\frac{5 r ^{- 1}}{4 ( r ^{- 1} ) ^{2}}

x^{4} - 5 x^{3} + 5 x^{2} + 5 x - 6

ln (e^{9 x})

2 x^{9}

What is (9x^5+9x^4+45x^3)/(9x^2) ?
The solution to (9x^5+9x^4+45x^3)/(9x^2) is x(x^2+x+5)