What is factor 15x^3-10x^2+5x ?

The solution to factor 15x^3-10x^2+5x is 5x(3x^2-2x+1)

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factor 15x^3-10x^2+5x

factor

15 x^{3} - 10 x^{2} + 5 x

5 x (3 x^{2} - 2 x + 1)

Solution steps

15 x^{3} - 10 x^{2} + 5 x

Apply exponent rule:

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

x^{2} = xx

= 15 x^{2} x - 10 xx + 5 x

Rewrite

15

5 \cdot 3

Rewrite

10

5 \cdot 2

= 5 \cdot 3 x^{2} x - 5 \cdot 2 xx + 5 \cdot 1 \cdot x

Factor out common term

5 x

= 5 x (3 x^{2} - 2 x + 1)

\frac{1}{2} + \frac{8}{12}

5 (x + 2) = 7 (4 - x)

2 x^{2} - 9 x + 1 = 0

5 x^{2} + 25 x + 30

\frac{7}{18} - \frac{7}{2}

What is factor 15x^3-10x^2+5x ?
The solution to factor 15x^3-10x^2+5x is 5x(3x^2-2x+1)