What is factor 18n^5+16n^3-10n^2 ?

The solution to factor 18n^5+16n^3-10n^2 is 2n^2(9n^3+8n-5)

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factor 18n^5+16n^3-10n^2

factor

18 n^{5} + 16 n^{3} - 10 n^{2}

2 n^{2} (9 n^{3} + 8 n - 5)

Solution steps

18 n^{5} + 16 n^{3} - 10 n^{2}

Apply exponent rule:

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

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

= 18 n^{3} n^{2} + 16 n n^{2} - 10 n^{2}

Rewrite

18

2 \cdot 9

Rewrite

16

2 \cdot 8

= 2 \cdot 9 n^{3} n^{2} + 2 \cdot 8 n n^{2} - 2 \cdot 5 n^{2}

Factor out common term

2 n^{2}

= 2 n^{2} (9 n^{3} + 8 n - 5)

3 x - 5 \leq 10

2 x - 5 \leq - 4 x + 7

20 x^{2} - 15 x

(- 64)^{\frac{1}{2}}

What is factor 18n^5+16n^3-10n^2 ?
The solution to factor 18n^5+16n^3-10n^2 is 2n^2(9n^3+8n-5)