The greatest common factor of all three terms is 5 for the expression 10a−25+5b.
What is the greatest common factor?
The greatest common factor is the largest positive number which can be divided into given numbers evenly.
The distributive Property states that it is necessary to multiply each of the two numbers by the factor before performing the addition operation when a factor is multiplied by the sum or addition of two terms.
The greatest common factor will be calculated as:-
10a = 2 · 5 · a
-25 = -5 · 5
5b = 5 · b
GCF(10a, -25, 5b) = 5
The distributive property: a(b + c) = ab + ac
Therefore, the greatest common factor of all three terms is 5 for the expression 10a−25+5b.
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