What is (14n^3+64n^2-30n)/(6n+30) ?

The solution to (14n^3+64n^2-30n)/(6n+30) is (n(7n-3))/3

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simplify (14n^3+64n^2-30n)/(6n+30)

simplify

\frac{14 n ^{3} + 64 n ^{2} - 30 n}{6 n + 30}

\frac{n ( 7 n - 3 )}{3}

Solution steps

\frac{14 n ^{3} + 64 n ^{2} - 30 n}{6 n + 30}

Factor

14 n^{3} + 64 n^{2} - 30 n : 2 n (7 n - 3) (n + 5)

= \frac{2 n ( 7 n - 3 ) ( n + 5 )}{6 n + 30}

Factor

6 n + 30 : 6 (n + 5)

= \frac{2 n ( 7 n - 3 ) ( n + 5 )}{6 ( n + 5 )}

Cancel the common factor:

n + 5

= \frac{2 n ( 7 n - 3 )}{6}

Factor the number:

6 = 2 \cdot 3

= \frac{2 n ( 7 n - 3 )}{2 \cdot 3}

Cancel the common factor:

2

= \frac{n ( 7 n - 3 )}{3}

81 x^{2} - 49 y^{2}

(x + 4)^{2} - 2

- 2 ∣ 3 y - 10 ∣ + 4 = - 6

∣ x - 9 ∣ - 7 \leq - 2

What is (14n^3+64n^2-30n)/(6n+30) ?
The solution to (14n^3+64n^2-30n)/(6n+30) is (n(7n-3))/3