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})

5 x^{2} + 45 x - 50

(\frac{1}{8})^{- \frac{2}{3}}

v^{2} = 64

\frac{m ^{\frac{1}{5}}}{m ^{\frac{1}{3}}}

∣ 2 x - 3 ∣ = 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)