Answer:
[tex]30+42=6(5+7)[/tex]
Step-by-step explanation:
Let [tex]a,b,c\in \mathbb R[/tex], according to the distributive property:
[tex]a(b+c)=ab+ac[/tex]
The prime factorization of 30 is
[tex]30=2\cdot 3\cdot 5[/tex]
The prime factorization of 42 is
[tex]42=2\cdot 3\cdot 7[/tex]
The Greatest common factor is [tex]2\times 3=6[/tex]
[tex]\implies 30+42=6\times5+6\times7[/tex]
[tex]\implies 30+42=6(5+7)[/tex]
