What is factor 9a^2-12ab+15a^3b^2-24ab^3 ?

The solution to factor 9a^2-12ab+15a^3b^2-24ab^3 is 3a(3a-4b+5a^2b^2-8b^3)

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factor 9a^2-12ab+15a^3b^2-24ab^3

factor

9 a^{2} - 12 ab + 15 a^{3} b^{2} - 24 a b^{3}

3 a (3 a - 4 b + 5 a^{2} b^{2} - 8 b^{3})

Solution steps

9 a^{2} - 12 ab + 15 a^{3} b^{2} - 24 a b^{3}

Apply exponent rule:

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

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

= 9 aa - 12 ab + 15 a a^{2} - 24 a b^{3}

Rewrite

- 24

8 \cdot 3

Rewrite

15

5 \cdot 3

= 3 \cdot 3 aa + 4 \cdot 3 ab + 5 \cdot 3 a a^{2} + 8 \cdot 3 a b^{3}

Factor out common term

3 a

= 3 a (3 a - 4 b + 5 a^{2} b^{2} - 8 b^{3})

1.25 = 0.75 + r

3 x - 2 > 2 x - 1

x + x + 13.7 = 142.9

6 \cdot {3 \cdot [- 9 + 4 (5 \cdot 3 - 9)] - 3 \cdot (40 - 8)}

9 + v = - 7

What is factor 9a^2-12ab+15a^3b^2-24ab^3 ?
The solution to factor 9a^2-12ab+15a^3b^2-24ab^3 is 3a(3a-4b+5a^2b^2-8b^3)