What is (n^2+6n+9)/(3n^2+15n+18) ?

The solution to (n^2+6n+9)/(3n^2+15n+18) is (n+3)/(3(n+2))

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simplify (n^2+6n+9)/(3n^2+15n+18)

simplify

\frac{n ^{2} + 6 n + 9}{3 n ^{2} + 15 n + 18}

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

Solution steps

\frac{n ^{2} + 6 n + 9}{3 n ^{2} + 15 n + 18}

Factor

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

= \frac{( n + 3 ) ^{2}}{3 n ^{2} + 15 n + 18}

Factor

3 n^{2} + 15 n + 18 : 3 (n + 2) (n + 3)

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

Apply exponent rule:

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

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

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

Cancel the common factor:

n + 3

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

6 x^{2} - 36 = 0

x y^{2} + x - y^{2} z - z

36 u^{2} - 49

2 y^{4} + 6 y^{2} + 5 y^{2} + 15

∣ p - 1 ∣ = 4

What is (n^2+6n+9)/(3n^2+15n+18) ?
The solution to (n^2+6n+9)/(3n^2+15n+18) is (n+3)/(3(n+2))