Question

Which expression uses the greatest common factor and the distributive property to write $28+12$as a product?

• A. $2(14+6)$
• B. $4(7+3)$
• C. $8(20+4)$
• D. $7(4+5)$

Answer 1

The correct option is B

$4(7+3)$

Explanation for correct option:

Option B : $4(7+3)$
Distributive property : The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis

Factor of $28=1,2,4,7,28$
Factor of $12=1,2,3,4,12$
Greatest common factor of $28$ and $12$ is $4$
Since, $28+12=40$ and greatest common factor is $4$
Therefore option B $4(7+3)$ is correct.
Explanation for incorrect options:
Option A : $2(14+6)$

Greatest common factor of $28$ and $12$ is $4$ but in this option it is $2$.

So option A is incorrect.
Option C :$8(20+4)$

Total is not equal to $40$

So option C is incorrect
Option D : $7(4+5)$

Total is not equal to $40$

So option D is incorrect

Hence, option B is correct.