What is factor 4a^3b^2-12ab+20a^2b^2 ?

The solution to factor 4a^3b^2-12ab+20a^2b^2 is 4ab(a^2b-3+5ab)

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factor 4a^3b^2-12ab+20a^2b^2

factor

4 a^{3} b^{2} - 12 ab + 20 a^{2} b^{2}

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

Solution steps

4 a^{3} b^{2} - 12 ab + 20 a^{2} b^{2}

Apply exponent rule:

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

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

= 4 a a^{2} bb - 12 ab + 20 aabb

Rewrite

20

5 \cdot 4

Rewrite

- 12

3 \cdot 4

= 4 a a^{2} bb + 3 \cdot 4 ab + 5 \cdot 4 aabb

Factor out common term

4 ab

= 4 ab (a^{2} b - 3 + 5 ab)

x - 1 \leq 3 x + 7

\frac{b}{2} - 1 = 1

12 x^{2} - 16

2 x - 1 = 5 x + 8

\frac{2}{3} [3 (\frac{4}{6} + \frac{1}{3}) - \frac{1 ( 2 - 4 )}{2}]

What is factor 4a^3b^2-12ab+20a^2b^2 ?
The solution to factor 4a^3b^2-12ab+20a^2b^2 is 4ab(a^2b-3+5ab)