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Chapter 1: Problem 40

Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$\frac{1}{3}(7 x-21)$$

Short Answer

Expert verified
The simplified form of the expression \(\frac{1}{3}(7x-21)\) is \(\frac{7}{3}x - 7\).

Step by step solution

01

Use Distributive Property

To simplify this expression, use the distributive property by multiplying \(\frac{1}{3}\) with each term inside the parentheses. This could be written as \(\frac{1}{3} * 7x - \frac{1}{3} * 21\).
02

Calculate the Multiplication

Now perform the multiplication: \(\frac{7}{3}x - \frac{21}{3}\).
03

Simplify the Expressions

Finally, simplify the right term \(\frac{21}{3}\) to its simplest form which is 7. Now you have the expression : \(\frac{7}{3}x - 7\).

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