What is factor x^{15}-x^{12}+2x^9-3x^6 ?

The solution to factor x^{15}-x^{12}+2x^9-3x^6 is x^6(x^9-x^6+2x^3-3)

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factor x^{15}-x^{12}+2x^9-3x^6

factor

x^{15} - x^{12} + 2 x^{9} - 3 x^{6}

x^{6} (x^{9} - x^{6} + 2 x^{3} - 3)

Solution steps

x^{15} - x^{12} + 2 x^{9} - 3 x^{6}

Apply exponent rule:

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

x^{9} = x^{3} x^{6}

= x^{9} x^{6} - x^{6} x^{6} + 2 x^{3} x^{6} - 3 x^{6}

Factor out common term

x^{6}

= x^{6} (x^{9} - x^{6} + 2 x^{3} - 3)

4 x - 3 (x - 2)

- 2 (\frac{1}{4})

- 2 x^{2} + 5 x - 2

(s + 2) (s + 2)

(x - 2) (x^{2} - 4)

What is factor x^{15}-x^{12}+2x^9-3x^6 ?
The solution to factor x^{15}-x^{12}+2x^9-3x^6 is x^6(x^9-x^6+2x^3-3)