Question

Factorise:

4x+16/2
bit confused on this one because it says 2(x+4) but where do you get the two from​

Answer 1

`2(x + 4)`

Explanation:

According to this fraction:

Numerator =
`4x + 16`

Denominator =
`2`

Step I:

Focus on the two terms in the numerator and observe that their Highest Common Factor (HCF) is 4. This can be extracted out while factorising:

`4x + 16` =
`4 (x + 4)`

∴
`(4x + 16)/(2)` =
`(4(x + 4))/(2)`

Step II:

The 4 (which is outside the parenthesis because it is extracted as the HCF) can be reduced by the 2 because of the division sign:

`(4(x + 4))/(2)` =
`(4)/(2)` ×
`(x + 4)`

=
`2` ×
`(x + 4)`

=
`2(x + 4)`

Answer 2

To factorize

`= (4x + 16)/(2)`

Taking "4" as common from 4x+16

`= (4(x + 4))/(2)`

Cancelling 2 with 4

`= 2(x + 4)`

(since 4÷2=2)