What is factor 12a^2b-18ab^2-30ab^3 ?

The solution to factor 12a^2b-18ab^2-30ab^3 is 6ab(2a-3b-5b^2)

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factor 12a^2b-18ab^2-30ab^3

factor

12 a^{2} b - 18 a b^{2} - 30 a b^{3}

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

Solution steps

12 a^{2} b - 18 a b^{2} - 30 a b^{3}

Apply exponent rule:

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

a^{2} b = aab, a b^{2} = abb, a b^{3} = ab b^{2}

= 12 aab - 18 abb - 30 ab b^{2}

Rewrite

- 30

5 \cdot 6

Rewrite

- 18

3 \cdot 6

= 2 \cdot 6 aab + 3 \cdot 6 abb + 5 \cdot 6 ab b^{2}

Factor out common term

6 ab

= 6 ab (2 a - 3 b - 5 b^{2})

- x^{2} + 1 > 4 x + 1

5 x^{2} + 30 x + 125 = 0

- 3 + 39 \geq 7 m + 5 m

- k + 78 = 98 - 20

2 - x < x

What is factor 12a^2b-18ab^2-30ab^3 ?
The solution to factor 12a^2b-18ab^2-30ab^3 is 6ab(2a-3b-5b^2)