Problem 28
Question
Use a form of the distributive property to rewrite each algebraic expression without parentheses. $$4(x+6)$$
Step-by-Step Solution
Verified Answer
The simplified form of the algebraic expression \(4(x+6)\) using the distributive property is \(4x + 24\).
1Step 1: Understand the distributive property
The distributive property of multiplication over addition states that for all real numbers a, b, and c: a(b+c) = ab + ac. This means that the multiplier should distribute equally among the terms inside the bracket.
2Step 2: Apply the distributive property
In the given problem, we have \(4(x+6)\). Apply the distributive property, by multiplying \(4\) with both \(x\) and \(6\). That is, \(4*x + 4*6\).
3Step 3: Simplify the Expression
The expression now becomes \(4x + 24\). This is the simplified form of the algebraic expression without parentheses.
Other exercises in this chapter
Problem 28
In Exercises \(15-28,\) simplify each algebraic expression, or explain why the expression cannot be simplified. $$34 x^{2}-x^{2}$$
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perform the indicated multiplication. $$-3(-2)(-5)(-1)$$
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Find each sum without the use of a number line. $$-6.3+5.2$$
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Express each rational number as a decimal. $$\frac{3}{11}$$
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