What is factor 9a^2b^3+15a^5b^4 ?

The solution to factor 9a^2b^3+15a^5b^4 is 3a^2b^3(3+5a^3b)

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factor 9a^2b^3+15a^5b^4

factor

9 a^{2} b^{3} + 15 a^{5} b^{4}

3 a^{2} b^{3} (3 + 5 a^{3} b)

Solution steps

9 a^{2} b^{3} + 15 a^{5} b^{4}

Apply exponent rule:

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

a^{5} b^{4} = a^{2} a^{3} b^{3} b

= 9 a^{2} b^{3} + 15 a^{2} a^{3} b^{3} b

Rewrite

15

5 \cdot 3

Rewrite

9

3 \cdot 3

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

Factor out common term

3 a^{2} b^{3}

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

4 ∣ x - 2 ∣ + 1 = 21

x^{2} + 10 x y + 25 y^{2}

\frac{∣ 3 x + 1 ∣}{∣ x + 3 ∣} < 1

- 1 y = - 69

4. 3^{2}

What is factor 9a^2b^3+15a^5b^4 ?
The solution to factor 9a^2b^3+15a^5b^4 is 3a^2b^3(3+5a^3b)