Apply the Associative and Commutative Properties to generate an expression equivalent to

Question

2(a+5)+4(2a + 3) - 10. (1 point)
○ 12a + 10
○ 10a +12
9a + 12
10a +22

Answer 1

To use the Associative Property, we'll first add the terms within each set of parentheses:

2(a+5) = 2a + 10
4(2a + 3) = 8a + 12

Now we'll group the terms using the Associative Property:

(2a + 10) + (8a + 12) -10

Now we'll combine like terms:

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

Finally, we'll simplify the expression:

10a + 2

So, an equivalent expression using the Associative Property is 10a + 2.

Answer 2

shorter pls

Answer 3

Sure! Using both the Associative and Commutative Properties:

2(a+5) + 4(2a+3) - 10
= 2a + 10 + 8a + 12 - 10
= (2a + 8a) + (10 + 12 - 10)
= 10a + 12 - 10
= 10a + 2

Therefore, the equivalent expression is 10a + 2.