What is factor 24ab^4+12ab^3-18ab^2 ?

The solution to factor 24ab^4+12ab^3-18ab^2 is 6ab^2(4b^2+2b-3)

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factor 24ab^4+12ab^3-18ab^2

factor

24 a b^{4} + 12 a b^{3} - 18 a b^{2}

6 a b^{2} (4 b^{2} + 2 b - 3)

Solution steps

24 a b^{4} + 12 a b^{3} - 18 a b^{2}

Apply exponent rule:

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

a b^{4} = a b^{2} b^{2}, a b^{3} = a b^{2} b

= 24 a b^{2} b^{2} + 12 a b^{2} b - 18 a b^{2}

Rewrite

- 18

3 \cdot 6

Rewrite

12

2 \cdot 6

= 4 \cdot 6 a b^{2} b^{2} + 2 \cdot 6 a b^{2} b + 3 \cdot 6 a b^{2}

Factor out common term

6 a b^{2}

= 6 a b^{2} (4 b^{2} + 2 b - 3)

7 x^{2} - 16 x = 0

(- 7)^{\frac{5}{3}} \cdot (\frac{1}{56})^{\frac{5}{3}}

4 x + 3 \geq - 5

\frac{x}{8} = \frac{1.5}{2}

\frac{5}{4}

What is factor 24ab^4+12ab^3-18ab^2 ?
The solution to factor 24ab^4+12ab^3-18ab^2 is 6ab^2(4b^2+2b-3)