Question

Factor the following expressions (using the distributive property in reverse) 3a - 216 + 18c =

Answer 1

we are gonna type the equation over here..

`3a-21b+18c=0\text{?}`

if it is equal to zero, we want to find that number that is common in all factors..

for the first one we only have..

`3a;\text{ then the only number that appear here is 3}`

for the second factor we have

`-21b\text{ = (-7)(3)b ; we can express like this, in a multi}plication\text{ of -7 and 3}`

and for the latest:

`18c\text{ = (6)(3)c}`

placing,

`(3)a-(7)(3)b+(6)(3)c=0`

The number in common in all factors is 3; then your answer will be:

`3(a-7b+6c)=0`