Solution:
Given that,
Apply the distributive property to factor out the greatest common factor
35 + 50
By distributive property,
a(b + c) = ab + ac
First find the greatest common factor of 35 and 50
The factors of 35 are: 1, 5, 7, 35
The factors of 50 are: 1, 2, 5, 10, 25, 50
Then the greatest common factor is 5
Thus, factor out 5 from given expression,
35+50= 5(7+10)
5(7+10)= 5×7+5×10
5(7+10)= 35+50
5(7+10)= 85
Thus distributive property is applied