What is factor 4a^3b-8a^2b^2+2ab^3 ?

The solution to factor 4a^3b-8a^2b^2+2ab^3 is 2ab(2a^2-4ab+b^2)

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factor 4a^3b-8a^2b^2+2ab^3

factor

4 a^{3} b - 8 a^{2} b^{2} + 2 a b^{3}

2 ab (2 a^{2} - 4 ab + b^{2})

Solution steps

4 a^{3} b - 8 a^{2} b^{2} + 2 a b^{3}

Apply exponent rule:

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

a^{3} b = a a^{2} b, a^{2} b^{2} = aabb, a b^{3} = ab b^{2}

= 4 a a^{2} b - 8 aabb + 2 ab b^{2}

Rewrite

- 8

4 \cdot 2

Rewrite

4

2 \cdot 2

= 2 \cdot 2 a a^{2} b + 2 \cdot 2 \cdot 2 aabb + 2 ab b^{2}

Factor out common term

2 ab

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

16 a^{2} + 40 a + 25

3 x^{2} + 6 x - x - 2

\frac{3 - x}{4} = 1

32 - \frac{x}{5} = \frac{x}{3}

(0^{2} - x^{2}) = 2 (- 9.8) (0.53)

What is factor 4a^3b-8a^2b^2+2ab^3 ?
The solution to factor 4a^3b-8a^2b^2+2ab^3 is 2ab(2a^2-4ab+b^2)