Question

(4ab - 8a 2 + 12ac) ÷ 4a Find the quotient.

a) b - 2a2 + 3c
b) b - 2a + 3c
c) abc

Answer 1

b) b - 2a + 3c

Explanation:

The given expression is
`(4ab - 8a^2 +12ac)/(4a)`

Let's factor out the numerator expression
`4ab -8a^2 +12ab`

Here 4a is a greatest common factor. So we can take it out and write the remaining terms in the parenthesis.

`4ab -8a^2 +12ac = 4a(b -2a + 3c)`

The given expression can be written as

`((4a)(b-2a +3c) )/(4a)`

We can cancel out 4a both in the numerator and in the denominator, we get

b - 2a + 3c