Question

Factor 64 f - 64 g + 96 to identify the equivalent expressions.

Answer 1

Answer: 32(2f-2g+3)

Explanation:

The given expression:-
`64f-64g+96`

We can see there are three terms, and the numerical coefficients are 64, -64 and 96 respectively.

First write prime factorization of all the coefficient as

`64=2*2*2*2*2*2\\96=2*2*2*2*2*3`

We can see the HCF(64,64,96)=
`2*2*2*2*2=32`

Now, take 32 as highest common factor outside , we get

`64f-64g+96=32(2f-2g+3)`