Question

Which expression is equivalent to 10a + 6?

A. 10(a + 3)
B. 2(5a + 3)
C. 5(5a + 1)
D. 10(a + 1)

Answer 1

The answer is: 2(5a + 3)

hope this helps :)

Answer 2

B. 2(5a + 3)

Explanation:

Using the distributive property, we know that we can distribute to polynomial within parenthesis. So, following this, we can multiple 2*5a and 2*3. This gives us the expression, 10a+6. Showing that these two expressions are equivalent.

Additionally, the expression 2(5a+3) is an example of factoring. The GCF, 2, was factored out of the original expression 10a+6. Since 2(5a+3) is a factored form of 10a+6, they must be equivalent.