Apply the associative and communative properties to generate an expression equivelent to 2 (a+5) + 4 (2a+3) - 10
A- 10a + 22
B- 12a + 10
C- 9a + 12
D- 10a + 12
To apply the associative property, we group the terms together.
The given expression is: 2(a+5) + 4(2a+3) - 10
Using the associative property, we can rewrite it as:
2a + 10 + 8a + 12 - 10
Combining like terms, we have:
(2a + 8a) + (10 + 12 - 10)
Simplifying further:
10a + 22 - 10
Finally, combining like terms again, we get:
10a + 12
So, the expression equivalent to 2(a+5) + 4(2a+3) - 10 using the associative and commutative properties is 10a + 12.
Therefore, the correct answer is D- 10a + 12.