What is factor 2a^5b^3-4a^2b+30ab^2 ?

The solution to factor 2a^5b^3-4a^2b+30ab^2 is 2ab(a^4b^2-2a+15b)

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factor 2a^5b^3-4a^2b+30ab^2

factor

2 a^{5} b^{3} - 4 a^{2} b + 30 a b^{2}

2 ab (a^{4} b^{2} - 2 a + 15 b)

Solution steps

2 a^{5} b^{3} - 4 a^{2} b + 30 a b^{2}

Apply exponent rule:

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

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

= 2 a a^{4} b b^{2} - 4 aab + 30 abb

Rewrite

30

15 \cdot 2

Rewrite

- 4

2 \cdot 2

= 2 a a^{4} b b^{2} + 2 \cdot 2 aab + 15 \cdot 2 abb

Factor out common term

2 ab

= 2 ab (a^{4} b^{2} - 2 a + 15 b)

(x - 1) (x + 8) = 5 x

x^{22}

∣ 8 y - 5 ∣ \geq 10

5 (x + 9)^{2} = 60

6 - 13 b - 5 b^{2} < 0

What is factor 2a^5b^3-4a^2b+30ab^2 ?
The solution to factor 2a^5b^3-4a^2b+30ab^2 is 2ab(a^4b^2-2a+15b)