Question

Apply the distributive property to factor out the greatest common factor. 35+50=

Answer 1

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Answer 2

Apply the distributive property to factor out the greatest common factor

35 + 50 = 5(7 + 10)

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,

$35 + 50 = 5(7 + 10)\\\\ 5(7 + 10) = 5 \times 7 + 5 \times 10\\\\5(7 + 10) = 35 + 50\\\\5(7 + 10) = 85$

Thus distributive property is applied

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