Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10.(1 point)
9a +12
10a +22
12a+10
10a +12
Using the distributive property, first distribute the numbers outside the parentheses:
2(a+5) = 2a + 10
4(2a+3) = 8a + 12
Now, combine the expressions:
2a + 10 + 8a + 12 - 10
Using the commutative property, rearrange the terms so that the like terms are next to each other:
2a + 8a + 10 + 12 - 10
Now, combine the like terms:
(2a + 8a) + (10 + 12 - 10)
10a + 12
So, the equivalent expression is:
10a + 12