Question

Use the distributive property to create an equivalent expression to 40+4x.

Answer 1

Distributive property of multiplication states that when a number is multiplied by the sum of two numbers, then the first number can be distributed to both of those numbers and multiplied by each of them separately.

For any a,b and c

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

Given expression: 40+4x

we can write this expression as:

`40+4x = 4 \cdot 10 + 4\cdot x`

=
`4 \cdot (10+x)` [By using distributive property]

Therefore, the equivalent expression to 40+ 4x by using the distributive property is,
`4 \cdot (10+x)`

Answer 2

4(10+x)     4(10) +4(x)      40+4x