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

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

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factor 12a^3b-20a^2b^3

factor

12 a^{3} b - 20 a^{2} b^{3}

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

Solution steps

12 a^{3} b - 20 a^{2} b^{3}

Apply exponent rule:

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

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

= 12 a^{2} ab - 20 a^{2} b b^{2}

Rewrite

- 20

5 \cdot 4

Rewrite

12

3 \cdot 4

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

Factor out common term

4 a^{2} b

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

2 + \frac{1}{4} x^{2} = 5

y^{2} + 5 y - 11 = 0

\frac{x - 17}{( x + 12 ) ^{2} ( x - 29 )} \leq 0

(- 7 + 2 i)^{2}

∣ 4 x ∣ > - 2

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