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Popular >

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

Solution

factor

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

Solution

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

Solution steps

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

Apply exponent rule:

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

x^{2} = xx

= 3 x^{2} x - 9 xx + 27 x

Rewrite

9

as

3 \cdot 3

Rewrite

27

as

3 \cdot 9

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

Factor out common term

3 x

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

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Frequently Asked Questions (FAQ)

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