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To apply the associative property, we can group the terms within parentheses together. To apply the commutative property, we can rearrange the terms within each parentheses.
Starting with the expression: 2(a + 5) + 4(2a + 3) - 10
Applying the associative property within each parentheses:
= 2a + 10 + 8a + 12 - 10
Rearranging the terms within each parentheses using the commutative property:
= 2a + 8a + 10 + 12 - 10
Combining like terms:
= (2a + 8a) + (10 + 12) - 10
= 10a + 22 - 10
= 10a + 12