Respuesta :

The distributive property of 12c + 16 is:

[tex]12c+16=4(3c+4)[/tex]

Solution:

Given that we have to use the distributive property

Given expression is:

12c + 16

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

The distributive property is represented as:

a(b + c) = ab + bc

For the given expression 12c + 16, take the greatest common factor out

Greatest common factor of 12 and 16

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 16 are: 1, 2, 4, 8, 16

Then the greatest common factor is 4

Factor out 4 from 12c + 16

[tex]12c + 16 = 4(3c + 4)[/tex]

Thus the distributive property is found

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