Apply the Distributive Property and Combine like Terms to generate an expression equivalent to

Question

2 (a +5) +4 (2a +3) - 10
(1 point)
O 9a + 12
O 10a + 12
O 12a + 10
O 10a + 22

Answer 1

To generate an expression equivalent to 2(a + 5) + 4(2a + 3) - 10 using the distributive property and combining like terms, we can simplify each term:

2(a + 5) = 2a + 10
4(2a + 3) = 8a + 12

Now, we can combine the terms:

2a + 10 + 8a + 12 - 10 = (2a + 8a) + (10 + 12 - 10) = 10a + 12

Therefore, the expression equivalent to 2(a + 5) + 4(2a + 3) - 10 is 10a + 12.

The correct answer is: 10a + 12.