What is factor 24a^2b^2+16ab^4+64ab^3 ?

The solution to factor 24a^2b^2+16ab^4+64ab^3 is 8ab^2(3a+2b^2+8b)

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factor 24a^2b^2+16ab^4+64ab^3

factor

24 a^{2} b^{2} + 16 a b^{4} + 64 a b^{3}

8 a b^{2} (3 a + 2 b^{2} + 8 b)

Solution steps

24 a^{2} b^{2} + 16 a b^{4} + 64 a b^{3}

Apply exponent rule:

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

a^{2} b^{2} = aa b^{2}, a b^{4} = a b^{2} b^{2}, a b^{3} = a b^{2} b

= 24 aa b^{2} + 16 a b^{2} b^{2} + 64 a b^{2} b

Rewrite

64

8 \cdot 8

Rewrite

16

2 \cdot 8

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

Factor out common term

8 a b^{2}

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

1 - e^{- 3}

x^{2} + 3 x + \frac{1}{4} = 0

∣ 2 x - 1 ∣ = (x + 2) - ∣ x - 5 ∣

5 x^{3} - 45 x^{2} + 100 x

2 x^{2} - 2 x - 4 = 0

What is factor 24a^2b^2+16ab^4+64ab^3 ?
The solution to factor 24a^2b^2+16ab^4+64ab^3 is 8ab^2(3a+2b^2+8b)