What is factor 4a^4b-6a^2b^2+12a^3b ?

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

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factor 4a^4b-6a^2b^2+12a^3b

factor

4 a^{4} b - 6 a^{2} b^{2} + 12 a^{3} b

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

Solution steps

4 a^{4} b - 6 a^{2} b^{2} + 12 a^{3} b

Apply exponent rule:

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

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

= 4 a^{2} a^{2} b - 6 a^{2} bb + 12 a^{2} ab

Rewrite

12

6 \cdot 2

Rewrite

- 6

3 \cdot 2

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

Factor out common term

2 a^{2} b

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

2 \cdot 0.6

7 x^{2} + 4 x = 2

2 x^{2} + x + 8 = 0

(x + 1) (x - 10) = 0

8 - \frac{3 x}{10} + \frac{2 x}{4} - \frac{5 x}{8} = - 9

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