What is factor 2x^{n+1}-2x^n+x^{n+2} ?

The solution to factor 2x^{n+1}-2x^n+x^{n+2} is x^n(2x-2+x^2)

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factor 2x^{n+1}-2x^n+x^{n+2}

factor

2 x^{n + 1} - 2 x^{n} + x^{n + 2}

x^{n} (2 x - 2 + x^{2})

Solution steps

2 x^{n + 1} - 2 x^{n} + x^{n + 2}

Apply exponent rule:

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

= 2 x^{1} x^{n} - 2 x^{n} + x^{2} x^{n}

Factor out common term

x^{n}

= x^{n} (2 x - 2 + x^{2})

\frac{x ^{2} - 6 x + 9}{x - 3}

p^{3} q^{3} - 343 r^{3} s^{3}

sin^{2} (x) + 5 sin (x) + 6

3 y 6

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

What is factor 2x^{n+1}-2x^n+x^{n+2} ?
The solution to factor 2x^{n+1}-2x^n+x^{n+2} is x^n(2x-2+x^2)