What is factor 15k^{10}+15k^9+15k^7-30k^5 ?

The solution to factor 15k^{10}+15k^9+15k^7-30k^5 is 15k^5(k^5+k^4+k^2-2)

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factor 15k^{10}+15k^9+15k^7-30k^5

factor

15 k^{10} + 15 k^{9} + 15 k^{7} - 30 k^{5}

15 k^{5} (k^{5} + k^{4} + k^{2} - 2)

Solution steps

15 k^{10} + 15 k^{9} + 15 k^{7} - 30 k^{5}

Apply exponent rule:

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

k^{7} = k^{2} k^{5}

= 15 k^{5} k^{5} + 15 k^{4} k^{5} + 15 k^{2} k^{5} - 30 k^{5}

Rewrite

30

15 \cdot 2

= 15 k^{5} k^{5} + 15 k^{4} k^{5} + 15 k^{2} k^{5} - 15 \cdot 2 k^{5}

Factor out common term

15 k^{5}

= 15 k^{5} (k^{5} + k^{4} + k^{2} - 2)

3 x^{2} + 45 = 24 x

(- 27 x^{- 9})^{\frac{1}{3}}

16 (x + 2) - 8 = 16 x + 24

2 \cdot 2

\frac{4}{7} x - 4 > 12

What is factor 15k^{10}+15k^9+15k^7-30k^5 ?
The solution to factor 15k^{10}+15k^9+15k^7-30k^5 is 15k^5(k^5+k^4+k^2-2)