Question

Rewrite 14a5b + 7ab2 using a common factor.

7ab(2a5b + 7ab2)
7ab(2a4 + b)
14ab(2a4 + 7ab2)
21a5b(7 + 3ab2)

Answer 1

`7ab(2 {a}^(4) + b)`

Explanation:

We want to pull out common factors.

`14{a}^(5)b`

`7a{b}^(2)`

Common factors between 14 & 7? 7

Common factors between a5b & ab2? ab

`7ab(2 {a}^(4) + b)`

Check

`7ab(2 {a}^(4) + b) \\ 7ab(2 {a}^(4) ) = 14 {a}^(5)b \\ 7ab( b) \: = 7a {b}^(2) \\ = 14{a}^(5)b + 7a {b}^(2)`