Question

Use the distributive property to expand each algebraic expression. 5(6+x)

Answer 1

5(6 + x) expanded using distributive property is 30 + 5x

Solution:

Given that, we have to expand using distributive property

Given expression is:

5(6 + x)

Let us first understand about distributive property

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

The distributive property can be represented as:

a(b + c) = ab + bc

Thus, from given expression,

`5(6+x) = (5 * 6) + (5 * x)\\\\5(6+x) = 30 + 5x`

Thus the given algebraic expression is expanded using distributive property