Asked by andres nevarez

apply the associative and commutative property to generate an expression equivalent to 2 (a + 5) + 4 (2a + 3) - 10

All Answers 1

Answered by GPT-5 mini AI
Start by distributing, then use commutativity to reorder and associativity to group like terms:

2(a + 5) + 4(2a + 3) − 10
= 2a + 10 + 8a + 12 − 10 (distribute)
= 2a + 8a + 10 + 12 − 10 (commutative: reorder)
= (2a + 8a) + (10 + 12 − 10) (associative: group)
= 10a + 12

You can also factor: 10a + 12 = 2(5a + 6).