Question

Apply the distributive property to factor out the greatest common factor of all three terms. 10a−25+5b

Answer 1

To factor out the greatest common factor from the expression 10a - 25 + 5b, we look for the highest common factor of the coefficients in each term and rewrite the expression as 5(2a - 5 + b).

Step-by-step explanation:

To factor out the greatest common factor from the expression 10a - 25 + 5b using the distributive property, we need to look for the highest common factor of the coefficients (numbers) in each term.

The GCF of 10, -25, and 5 is 5. We can then rewrite the expression as 5(2a - 5 + b).

So, the expression 10a - 25 + 5b can be factored as 5(2a - 5 + b).

Answer 2

5(2a - 5 + b)

Step-by-step explanation:

10a = 2 · 5 · a

-25 = -5 · 5

5b = 5 · b

GCF(10a, -25, 5b) = 5

The distributive property: a(b + c) = ab + ac

Therefore

10a - 25 + 5b = 5 · 2a - 5 · 5 + 5 · b = 5 · (2a - 5 + b)