Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10 .(1 point) Responses 10a +22 10 A plus 22 9a +12 9 A plus 12 10a +12 10 A plus 12 12a+10
To generate an expression equivalent to 2(a+5)+4(2a+3)−10 using the associative and commutative properties, we can rearrange the terms.
First, let's use the associative property to group similar terms together:
(2 * a) + (2 * 5) + (4 * 2a) + (4 * 3) - 10
Next, let's simplify the expressions within the parentheses:
2a + 10 + 8a + 12 - 10
Now, let's combine like terms:
(2a + 8a) + (10 + 12 - 10)
10a + 12
Therefore, the expression equivalent to 2(a+5)+4(2a+3)−10 using the associative and commutative properties is 10a + 12.