What is factor 24a^3b^2+36a^2b ?

The solution to factor 24a^3b^2+36a^2b is 12a^2b(2ab+3)

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factor 24a^3b^2+36a^2b

factor

24 a^{3} b^{2} + 36 a^{2} b

12 a^{2} b (2 ab + 3)

Solution steps

24 a^{3} b^{2} + 36 a^{2} b

Apply exponent rule:

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

a^{3} b^{2} = a^{2} abb

= 24 a^{2} abb + 36 a^{2} b

Rewrite

36

3 \cdot 12

Rewrite

24

2 \cdot 12

= 2 \cdot 12 a^{2} abb + 3 \cdot 12 a^{2} b

Factor out common term

12 a^{2} b

= 12 a^{2} b (2 ab + 3)

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What is factor 24a^3b^2+36a^2b ?
The solution to factor 24a^3b^2+36a^2b is 12a^2b(2ab+3)