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To apply the associative property, we can rearrange the terms within parentheses. To apply the commutative property, we can rearrange the order of the terms. Let's start:
2(a + 5) + 4(2a + 3) - 10
First, let's simplify the terms within the parentheses:
= 2a + 10 + 8a + 12 - 10
Next, we group the like terms together:
= (2a + 8a) + (10 + 12) - 10
Now, let's simplify further:
= 10a + 22 - 10
Finally, we combine the like terms:
= 10a + 12
Therefore, applying the associative and commutative properties to the expression 2(a+5) + 4(2a + 3) - 10 generates the equivalent expression 10a + 12.