Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10 .(1 point) Responses
9a +12
10a +22
10a +12
12a+10
By applying the associative and commutative properties, we can rearrange the terms in the expression to simplify it.
Original expression: 2(a+5) + 4(2a+3) - 10
Using the distributive property:
= 2a + 10 + 8a + 12 - 10
= 2a + 8a + 10 + 12 - 10
Combining like terms:
= 10a + 12
Therefore, the equivalent expression is 10a + 12.
So, the correct answer is:
10a + 12