What is (3n^4+6n^3)/(6n^4+9n^3) ?

The solution to (3n^4+6n^3)/(6n^4+9n^3) is (n+2)/(2n+3)

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simplify (3n^4+6n^3)/(6n^4+9n^3)

simplify

\frac{3 n ^{4} + 6 n ^{3}}{6 n ^{4} + 9 n ^{3}}

\frac{n + 2}{2 n + 3}

Solution steps

\frac{3 n ^{4} + 6 n ^{3}}{6 n ^{4} + 9 n ^{3}}

Factor

3 n^{4} + 6 n^{3} : 3 n^{3} (n + 2)

= \frac{3 n ^{3} ( n + 2 )}{6 n ^{4} + 9 n ^{3}}

Factor

6 n^{4} + 9 n^{3} : 3 n^{3} (2 n + 3)

= \frac{3 n ^{3} ( n + 2 )}{3 n ^{3} ( 2 n + 3 )}

Cancel the common factor:

3

= \frac{n ^{3} ( n + 2 )}{n ^{3} ( 2 n + 3 )}

Cancel the common factor:

n^{3}

= \frac{n + 2}{2 n + 3}

- 2 + 20

912

2 a^{\frac{1}{2}} (5 a^{\frac{1}{2}} b^{\frac{1}{4}})^{2}

\frac{1}{2} x + 1 = \frac{1}{3} x - 2

(x + 5)^{2} + 3 = (x - 2)^{2}

What is (3n^4+6n^3)/(6n^4+9n^3) ?
The solution to (3n^4+6n^3)/(6n^4+9n^3) is (n+2)/(2n+3)