Question

Use the distributive property to create an equivalent expression to 54+18x

Answer 1

18(x+3)

Just take out 18 from each term to get a binomial. Multiply what you factored out, 18, by the remaining binomial.

Answer 2

Answer:

An equivalent expression to 54+18x, using the distributive property is 18(3+x)

Step-by-step explanation:

In the problem we have the binomial (54+18x), and we are asked to use the distributive property, this means that we can find a factor wich is distributed in both terms of the binomial.

We know that any number, or in this case any polinomial (or binomial), can be multiplied times 1 and will stay the same number, and we only need to write this 1 in a way that could resolve our problem, in particular we can say that

$1=\frac{18}{18}$

then we can distribute the denominator, so we calculate:

$(54+18x)=1(54+18x)=\frac{18}{18}(54+18x)=18(\frac{54}{18}+\frac{18x}{18})=18(3+x)$

And the equivalent expression to (54+18x) is 18(3+x).