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Factorise:

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

Factorise: 4x+16/2 bit confused on this one because it says 2(x+4) but where do you-example-1

2 Answers

5 votes

Answer:


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)


User Dorin
by
8.3k points
5 votes

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)

User Preethi
by
8.5k points

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