What is factor 9x^4-18x^3+27x^2 ?

The solution to factor 9x^4-18x^3+27x^2 is 9x^2(x^2-2x+3)

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factor 9x^4-18x^3+27x^2

factor

9 x^{4} - 18 x^{3} + 27 x^{2}

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

Solution steps

9 x^{4} - 18 x^{3} + 27 x^{2}

Apply exponent rule:

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

x^{3} = x x^{2}

= 9 x^{2} x^{2} - 18 x x^{2} + 27 x^{2}

Rewrite

18

9 \cdot 2

Rewrite

27

9 \cdot 3

= 9 x^{2} x^{2} - 9 \cdot 2 x x^{2} + 9 \cdot 3 x^{2}

Factor out common term

9 x^{2}

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

7 x^{2} - 14 x + 7

2 x^{2} + 5 x - 18

- 3 w^{3} + 4 w^{2} + 12 w - 16

p^{3} + p^{2}

- 3 (- 3)^{3} - 2

What is factor 9x^4-18x^3+27x^2 ?
The solution to factor 9x^4-18x^3+27x^2 is 9x^2(x^2-2x+3)