What is factor 30n^5-24n^3-12n^2 ?

The solution to factor 30n^5-24n^3-12n^2 is 6n^2(5n^3-4n-2)

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factor 30n^5-24n^3-12n^2

factor

30 n^{5} - 24 n^{3} - 12 n^{2}

6 n^{2} (5 n^{3} - 4 n - 2)

Solution steps

30 n^{5} - 24 n^{3} - 12 n^{2}

Apply exponent rule:

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

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

= 30 n^{3} n^{2} - 24 n n^{2} - 12 n^{2}

Rewrite

30

6 \cdot 5

Rewrite

24

6 \cdot 4

= 6 \cdot 5 n^{3} n^{2} - 6 \cdot 4 n n^{2} - 6 \cdot 2 n^{2}

Factor out common term

6 n^{2}

= 6 n^{2} (5 n^{3} - 4 n - 2)

\frac{4 ^{7 x - 10}}{4 ^{4 x + 32}}

2 a^{2} + 8 a = - 12

- 3 ∣ x ∣ = 0

8 x + 9 - 12 x = 4 x - 13 - 5 x

4 x^{2} - 2 x = 23

What is factor 30n^5-24n^3-12n^2 ?
The solution to factor 30n^5-24n^3-12n^2 is 6n^2(5n^3-4n-2)