What is (5n^4+30n^3)/(n^2) ?

The solution to (5n^4+30n^3)/(n^2) is 5n(n+6)

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simplify (5n^4+30n^3)/(n^2)

simplify

\frac{5 n ^{4} + 30 n ^{3}}{n ^{2}}

5 n (n + 6)

Solution steps

\frac{5 n ^{4} + 30 n ^{3}}{n ^{2}}

Factor

5 n^{4} + 30 n^{3} : 5 n^{3} (n + 6)

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

Apply exponent rule:

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

n^{3} = n^{2} n

= \frac{5 n ^{2} n ( n + 6 )}{n ^{2}}

Cancel the common factor:

n^{2}

= 5 n (n + 6)

49 x^{4} - 28 x^{2} + 4

+ (x + 6) (x - 6) - (x + 3) (x - 3)

2 c + 2 c + 9

10 m^{3} + 25 m^{4} y

2^{x} \cdot 5^{- x}