Which expression is equivalent to 4a + 10? 4 (a + 5) 2 (2a + 8) 4 (a + 8) 2 (2a + 5)

Answer is d: 2 (2a+5)

One way is to just multply them out but the easier way is to undistribute to see the answer

so

remember distributive property

a (b+c) = ab+ac

4a+10 is obvously a product

the common factor is 2 so

4a+10=2 (2a) + 2 (5)

undistribute 2

2 (2a) + 2 (5) = 2 (2a+5)

reverse distribute

answer is last option