What is factor 3a^3b^4+9ab^3+12ab^4 ?

The solution to factor 3a^3b^4+9ab^3+12ab^4 is 3ab^3(a^2b+3+4b)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 3a^3b^4+9ab^3+12ab^4

factor

3 a^{3} b^{4} + 9 a b^{3} + 12 a b^{4}

3 a b^{3} (a^{2} b + 3 + 4 b)

Solution steps

3 a^{3} b^{4} + 9 a b^{3} + 12 a b^{4}

Apply exponent rule:

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

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

= 3 a a^{2} b^{3} b + 9 a b^{3} + 12 a b^{3} b

Rewrite

12

4 \cdot 3

Rewrite

9

3 \cdot 3

= 3 a a^{2} b^{3} b + 3 \cdot 3 a b^{3} + 4 \cdot 3 a b^{3} b

Factor out common term

3 a b^{3}

= 3 a b^{3} (a^{2} b + 3 + 4 b)

- 54 k^{4} + 2 k

\frac{x ^{9} ( 2 x ) ^{4}}{x ^{3}}

618

- 8 (10 r + 10 r - 6) - 3 r

What is factor 3a^3b^4+9ab^3+12ab^4 ?
The solution to factor 3a^3b^4+9ab^3+12ab^4 is 3ab^3(a^2b+3+4b)