QuestionAugust 25, 2025

Is the simplified expression (25+x)/(x+6) ? If not, identify all errors that are present. (Select all that apply.) The first step contains an error, rewrite the fractions so the denominators are x-6. The first step contains an error because (a)/(b)neq (a+c)/(b+c) for cneq 0 The missing step to combine fractions with different denominators is to find the least common multiple across all the denominators. No errors are present and the simplified expression is (25+x)/(x+6)

Is the simplified expression (25+x)/(x+6) ? If not, identify all errors that are present. (Select all that apply.) The first step contains an error, rewrite the fractions so the denominators are x-6. The first step contains an error because (a)/(b)neq (a+c)/(b+c) for cneq 0 The missing step to combine fractions with different denominators is to find the least common multiple across all the denominators. No errors are present and the simplified expression is (25+x)/(x+6)
Is the simplified expression (25+x)/(x+6) ? If not, identify all errors that are present. (Select all that apply.) The first step contains an error, rewrite the fractions so the denominators are x-6. The first step contains an error because (a)/(b)neq (a+c)/(b+c) for cneq 0 The missing step to combine fractions with different denominators is to find the least common multiple across all the denominators. No errors are present and the simplified expression is (25+x)/(x+6)

Solution
4.3(396 votes)

Answer

The first step contains an error because \frac {a}{b}\neq \frac {a+c}{b+c} for c\neq 0 Explanation 1. Identify Errors in Simplification The expression \frac{25+x}{x+6} is not simplified from any other expression. The error lies in assuming that \frac{a}{b} = \frac{a+c}{b+c}, which is incorrect unless c=0. Therefore, the second option is correct. 2. Check for Denominator Adjustment The first option suggests rewriting fractions with denominators as x-6, but this does not apply to the given expression since it already has a single denominator x+6. 3. Evaluate LCM Requirement The third option about finding the least common multiple (LCM) is irrelevant here because there are no multiple fractions to combine. 4. Verify Simplification The last option claiming no errors and stating the expression is simplified is incorrect because the expression was not derived from combining or simplifying other terms.

Explanation

1. Identify Errors in Simplification<br /> The expression $\frac{25+x}{x+6}$ is not simplified from any other expression. The error lies in assuming that $\frac{a}{b} = \frac{a+c}{b+c}$, which is incorrect unless $c=0$. Therefore, the second option is correct.<br /><br />2. Check for Denominator Adjustment<br /> The first option suggests rewriting fractions with denominators as $x-6$, but this does not apply to the given expression since it already has a single denominator $x+6$.<br /><br />3. Evaluate LCM Requirement<br /> The third option about finding the least common multiple (LCM) is irrelevant here because there are no multiple fractions to combine.<br /><br />4. Verify Simplification<br /> The last option claiming no errors and stating the expression is simplified is incorrect because the expression was not derived from combining or simplifying other terms.
Click to rate:

Similar Questions