Apply the Associative and commutative properties to generate an expression equivalent to 2(a+5)+4(2a+3)-10

Answer 1

First, let's apply the commutative property to rearrange the terms within each parenthesis:

2(a+5) + 4(2a+3) -10
= 2(a + 5) + 4(3 + 2a) -10

Next, we'll apply the distributive property:

= 2a + 10 + 12 + 8a -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 is 10a + 12.