Answer with explanation:
The given mathematical expression to solve : [tex]35+50[/tex]
The prime factorization of each term can be written as follows :-
[tex]35=5\times7[/tex]
[tex]50=5\times5\times2[/tex]
We can see that the greatest common factor of both the terms = [tex]5[/tex]
So we rewrite the given expression as :-
[tex]5\times7+5\times10[/tex]
By using distributive property :-
[tex]ab+ac=a(b+c)[/tex] , we have
[tex]=5(7+10)=5(17)=85[/tex]
