Question

Apply the distributive property to factor out the greatest common factor of all three terms. 14x+21y+7z

Answer 1

7(2x+3y+z) is the answer.

Answer 2

Apply the distributive property to factor out the greatest common factor of all three terms 14x + 21y + 7z = 7(2x + 3y+z)

Solution:

Given that,

We have to apply distributive property to factor out the greatest common factor of all three terms

14x + 21y + 7z

FIND GCF OF 14 , 21 , 7

The factors of 7 are: 1, 7

The factors of 14 are: 1, 2, 7, 14

The factors of 21 are: 1, 3, 7, 21

Then the greatest common factor is 7

By distributive property,

a(b + c) = ab + ac

Thus factor out 7 from expression

$14x + 21y + 7z = 7(2x + 3y+z)$

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