What is factor 6a^3-30a^2b+10ab^2 ?

The solution to factor 6a^3-30a^2b+10ab^2 is 2a(3a^2-15ab+5b^2)

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factor 6a^3-30a^2b+10ab^2

factor

6 a^{3} - 30 a^{2} b + 10 a b^{2}

2 a (3 a^{2} - 15 ab + 5 b^{2})

Solution steps

6 a^{3} - 30 a^{2} b + 10 a b^{2}

Apply exponent rule:

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

a^{3} = a a^{2}, a^{2} b = aa

= 6 a a^{2} - 30 aa + 10 a b^{2}

Rewrite

10

5 \cdot 2

Rewrite

- 30

15 \cdot 2

= 3 \cdot 2 a a^{2} + 15 \cdot 2 aa + 5 \cdot 2 a b^{2}

Factor out common term

2 a

= 2 a (3 a^{2} - 15 ab + 5 b^{2})

\frac{x}{3} + \frac{3 x}{4} = 2

3 x + 13 \leq - 11

- 5 x = 11

\frac{\frac{π}{4}}{2}

\frac{\frac{4}{( x + h ) ^{2}} - \frac{4}{x ^{2}}}{h}

What is factor 6a^3-30a^2b+10ab^2 ?
The solution to factor 6a^3-30a^2b+10ab^2 is 2a(3a^2-15ab+5b^2)