Which expression shows (48+16) in in the form of c(a+b) , where c is the greatest common factor of 48 and 16?
Responses
4(12+4)
4(12+4)
16(3+1)
16(3+1)
24(2+1)
24(2+1)
48(1+16)
48(1+16)
The greatest common factor of 48 and 16 is 16. Therefore, we can write (48 + 16) as 16(3 + 1), since 48 can be written as 16 x 3 and 16 can be factored out as the common factor. Therefore, the expression that shows (48 + 16) in the form of c(a + b), where c is the greatest common factor of 48 and 16, is 16(3 + 1).
So the correct answer is:
16(3 + 1)