Problem 88
Question
Simplify each algebraic expression. $$2(5 x-1)+14 x$$
Step-by-Step Solution
Verified Answer
The simplified version of the given algebraic expression is \(24x - 2\).
1Step 1: Apply the distributive property
First, distribute the 2 to both terms inside the parentheses: \(2 \times 5x - 2 \times 1\), which yields \(10x - 2\). So the expression now reads as \(10x - 2 + 14x\).
2Step 2: Combine like terms
Next, combine the 'like terms' (the terms with x). Adding 10x and 14x together, gets \(24x - 2\). This is now the simplified form of the expression.
Other exercises in this chapter
Problem 88
Perform the indicated operation or operations. $$(3 x+4)(3 x-4)\left(9 x^{2}+16\right)$$
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In Exercises \(83-90\), evaluate each expression without using a calculator. $$8^{\frac{2}{3}}$$
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Factor completely, or state that the polynomial is prime. $$x^{2} y-16 y+32-2 x^{2}$$
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Explain how to multiply rational expressions.
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