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

Answer:

$8\cdot (3+2)$

Step-by-step 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.

Answer 2

Answer:

8(3+2)

Step-by-step 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

$8(\frac{24}{8} +\frac{16}{8} )$

$8(3+2)$

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