Apply the Associative and Commutative Properties to generate an expression equivalent to 2(a+5)+4(2a+3)−10.(1 point) Responses 10a +22 10 A plus 22 12a+10 12 A plus 10 10a +12 10 A plus 12 9a +12
The expression can be rearranged and simplified using the associative and commutative properties as follows:
2(a+5) + 4(2a+3) - 10
Using the distributive property, we can multiply 2 with (a+5) and 4 with (2a+3):
(2*a + 2*5) + (4*2a + 4*3) - 10
Simplifying the multiplication:
2a + 10 + 8a + 12 - 10
Combining like terms:
(2a + 8a) + (10 + 12 - 10)
Simplifying further:
10a + 22
Therefore, the equivalent expression is 10a + 22.