apply the associative and commutative properties to generate an expression equivalent to 2 (a plus 5) plus 4 (2a plus 3) - 10
Applying the associative property:
2(a + 5) can be rearranged as 2a + 10
4(2a + 3) can be rearranged as 8a + 12
The expression becomes:
2a + 10 + 8a + 12 - 10
Applying the commutative property:
Rearranging terms:
2a + 8a + 10 + 12 - 10
Therefore, an expression equivalent to 2 (a + 5) + 4 (2a + 3) - 10 is:
10a + 22