Question

rewrite the sum in the form a(b+c) such that integers b and c have no common factor

Answer 1

The given format of the sum is

$a(b+c)$

The sum is,

24+16

The greatest common factor of 24 and 16 is 8, since,

$\begin{gathered} 24=12\times2=3\times2\times2\times2 \\ 16=8\times2=4\times2\times2=2\times2\times2\times2 \end{gathered}$

Therefore we can write, 24+16 as,

$24+16\rightarrow8\times3+8\times2=8(3+2)$