What is factor 7ab+14ab^2+21a^2b ?

The solution to factor 7ab+14ab^2+21a^2b is 7ab(1+2b+3a)

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factor 7ab+14ab^2+21a^2b

factor

7 ab + 14 a b^{2} + 21 a^{2} b

7 ab (1 + 2 b + 3 a)

Solution steps

7 ab + 14 a b^{2} + 21 a^{2} b

Apply exponent rule:

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

a b^{2} = abb, a^{2} b = aab

= 7 ab + 14 abb + 21 aab

Rewrite

21

3 \cdot 7

Rewrite

14

2 \cdot 7

= 7 ab + 2 \cdot 7 abb + 3 \cdot 7 aab

Factor out common term

7 ab

= 7 ab (1 + 2 b + 3 a)

4 + \frac{x}{15} = 3

x^{4} + 7 x^{2} + 6

0.0115 = P^{2}

12 + 5 x = 2 x + 18

x^{2} + 21 x + 54

What is factor 7ab+14ab^2+21a^2b ?
The solution to factor 7ab+14ab^2+21a^2b is 7ab(1+2b+3a)