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)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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)

(2 y - 1)^{3}

\frac{1}{8} + \frac{1}{24}

\frac{3 x}{x - 1} - \frac{x - 4}{x ^{2} - 2 x + 1}

\frac{5}{4} \cdot (- \frac{10}{3})

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)