Question

Which expressions are equivalent to 4(4a+5)
Select:
16a+5
16a+20

Answer 1

Use the property of distribution:

a(b+c) = ab + ac

4(4a+5) = 4(4a) + 4(5)
4(4a+5) = 16a + 20

Hope that helps :)

Answer 2

Option B is correct.

16a +20 is the expression equivalent to
`4(4a+5)`

Explanation:

Given the expression:
`4(4a+5)` .....[1]

The distributive property says that:

`a \cdot (b+c) = a\cdot b + a\cdot c`

Apply the distributive property in [1] we get;

`4(4a+5)` =
`4 \cdot (4a) + 4 \cdot (5) = 16a + 20`

Therefore, the expression which is equivalent to
`4(4a+5)` is, 16a + 20