What is factor 9a^3b^2+12a^4b ?

The solution to factor 9a^3b^2+12a^4b is 3a^3b(3b+4a)

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factor 9a^3b^2+12a^4b

factor

9 a^{3} b^{2} + 12 a^{4} b

3 a^{3} b (3 b + 4 a)

Solution steps

9 a^{3} b^{2} + 12 a^{4} b

Apply exponent rule:

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

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

= 9 a^{3} bb + 12 a^{3} ab

Rewrite

12

4 \cdot 3

Rewrite

9

3 \cdot 3

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

Factor out common term

3 a^{3} b

= 3 a^{3} b (3 b + 4 a)

- 9 (8 n + 4 p) - 7 p - 2 (- 10 p - 9 n)

(x + 1)^{8}

(4 x - 2) 2

(y - 5) (y + 5)

What is factor 9a^3b^2+12a^4b ?
The solution to factor 9a^3b^2+12a^4b is 3a^3b(3b+4a)