What is ((18r^5+36r^4+27r^3))/(9r) ?

The solution to ((18r^5+36r^4+27r^3))/(9r) is r^2(2r^2+4r+3)

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simplify ((18r^5+36r^4+27r^3))/(9r)

simplify

\frac{( 18 r ^{5} + 36 r ^{4} + 27 r ^{3} )}{9 r}

r^{2} (2 r^{2} + 4 r + 3)

Solution steps

\frac{18 r ^{5} + 36 r ^{4} + 27 r ^{3}}{9 r}

Factor

18 r^{5} + 36 r^{4} + 27 r^{3} : 9 r^{3} (2 r^{2} + 4 r + 3)

= \frac{9 r ^{3} ( 2 r ^{2} + 4 r + 3 )}{9 r}

Cancel the common factor:

9

= \frac{r ^{3} ( 2 r ^{2} + 4 r + 3 )}{r}

Apply exponent rule:

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

r^{3} = r r^{2}

= \frac{r r ^{2} ( 2 r ^{2} + 4 r + 3 )}{r}

Cancel the common factor:

r

= r^{2} (2 r^{2} + 4 r + 3)

(a - 6)^{2}

8 \frac{3}{4}

(12 - 6 i) - (7 + 8 i)

10 - 4

lo g_{3} (162) - lo g_{3} (2)

What is ((18r^5+36r^4+27r^3))/(9r) ?
The solution to ((18r^5+36r^4+27r^3))/(9r) is r^2(2r^2+4r+3)