Question

How do i rewrite the sum in the form a(b+c) such that the integers b and c have no common factor. 24+16?

Answer 1

8(3+2)

Explanation:

We need to write the sum in the form a(b+c) such that the integers b and c have no common factor.

Given sum is 24+ 16

Now we find out Greatest common factor for both 24 and 16

24 -> 2 times 2 times 2 times 3

16 -> 2 times 2 times 2 times 2

GCF is 2 times 2 times 2 = 8

WE put the common factor 8 outside and divide both numbers by 8 and put is inside the parenthesis

`8((24)/(8) +(16)/(8) )`

`8(3+2)`

we got 24 +16 in the form of a(b+c) that is 8(3+2)

Answer 2

`8\cdot (3+2)`

Explanation:

Find the greatest common factor of numbers 24 and 16:

`24=2\cdot 12=2\cdot 2\cdot 6=\underline{2\cdot 2\cdot 2}\cdot 3\\ \\16=2\cdot 8=2\cdot 2\cdot 4=\underline{2\cdot 2\cdot 2}\cdot 2`

These two numbers have the greatest common factor (all underlined factors)

`GCF(24,16)=2\cdot 2\cdot 2=8`

So,

`24=8\cdot 3\\ \\16=8\cdot 2` and

`24+16=8\cdot (3+2)`

Note that numbers 3 and 2 have no common factors.