What is factor 10a^5-30a^4+10a^3 ?

The solution to factor 10a^5-30a^4+10a^3 is 10a^3(a^2-3a+1)

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factor 10a^5-30a^4+10a^3

factor

10 a^{5} - 30 a^{4} + 10 a^{3}

10 a^{3} (a^{2} - 3 a + 1)

Solution steps

10 a^{5} - 30 a^{4} + 10 a^{3}

Apply exponent rule:

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

a^{4} = a a^{3}

= 10 a^{2} a^{3} - 30 a a^{3} + 10 a^{3}

Rewrite

30

10 \cdot 3

Rewrite

10

10 \cdot 1

= 10 a^{2} a^{3} - 10 \cdot 3 a a^{3} + 10 \cdot 1 \cdot a^{3}

Factor out common term

10 a^{3}

= 10 a^{3} (a^{2} - 3 a + 1)

- \frac{1}{2} + \frac{3}{5}

1 9^{\frac{4}{3}}

\frac{1}{4} \cdot (- 3)

(2 a - 3 b - 4 c)^{2}

x^{4} - x^{2}

What is factor 10a^5-30a^4+10a^3 ?
The solution to factor 10a^5-30a^4+10a^3 is 10a^3(a^2-3a+1)