What is factor 9a^5b-12a^2b^3+15ab^2-18a^3b^4 ?

The solution to factor 9a^5b-12a^2b^3+15ab^2-18a^3b^4 is 3ab(3a^4-4ab^2+5b-6a^2b^3)

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factor 9a^5b-12a^2b^3+15ab^2-18a^3b^4

factor

9 a^{5} b - 12 a^{2} b^{3} + 15 a b^{2} - 18 a^{3} b^{4}

3 ab (3 a^{4} - 4 a b^{2} + 5 b - 6 a^{2} b^{3})

Solution steps

9 a^{5} b - 12 a^{2} b^{3} + 15 a b^{2} - 18 a^{3} b^{4}

Apply exponent rule:

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

a^{5} b = a a^{4} b, a^{2} b^{3} = aab b^{2}, a b^{2} = abb, a^{3} b^{4} = a a^{2} b b^{3}

= 9 a a^{4} b - 12 aab b^{2} + 15 abb - 18 a a^{2} b b^{3}

Rewrite

- 18

6 \cdot 3

Rewrite

15

5 \cdot 3

= 3 \cdot 3 a a^{4} b + 4 \cdot 3 aab b^{2} + 5 \cdot 3 abb + 6 \cdot 3 a a^{2} b b^{3}

Factor out common term

3 ab

= 3 ab (3 a^{4} - 4 a b^{2} + 5 b - 6 a^{2} b^{3})

(\frac{1}{27})^{2 x + 1} \leq (\frac{1}{243})^{3 x - 2}

i^{- 9}

- 2 m - 5 m - 8 = 3 + (- 7) + m

2 x^{2} + 5 x < - 3

4 m \geq 8

What is factor 9a^5b-12a^2b^3+15ab^2-18a^3b^4 ?
The solution to factor 9a^5b-12a^2b^3+15ab^2-18a^3b^4 is 3ab(3a^4-4ab^2+5b-6a^2b^3)