What is factor 10a^4-30a^3+10a^2 ?

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

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factor 10a^4-30a^3+10a^2

factor

10 a^{4} - 30 a^{3} + 10 a^{2}

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

Solution steps

10 a^{4} - 30 a^{3} + 10 a^{2}

Apply exponent rule:

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

a^{3} = a a^{2}

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

Rewrite

30

10 \cdot 3

Rewrite

10

10 \cdot 1

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

Factor out common term

10 a^{2}

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

(23)^{5}

25.25

(4 y^{2})^{2}

(- 4)^{2} + (3)^{2}

- 2 \cdot \frac{1}{6}

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