Questions: Factor 21r + 24s

Factor 21r + 24s
Transcript text: Factor $21 r+24 s$
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Solution

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Solution Steps

To factor the expression \(21r + 24s\), we need to find the greatest common divisor (GCD) of the coefficients 21 and 24. Then, we factor out the GCD from the expression.

Step 1: Identify the Greatest Common Divisor (GCD)

To factor the expression \(21r + 24s\), we first identify the greatest common divisor (GCD) of the coefficients 21 and 24. The GCD of 21 and 24 is 3.

Step 2: Factor Out the GCD

Next, we factor out the GCD from the expression. This involves dividing each term by the GCD and placing the GCD outside the parentheses.

\[ 21r + 24s = 3 \left( \frac{21r}{3} + \frac{24s}{3} \right) \]

Step 3: Simplify the Expression Inside the Parentheses

Simplify the terms inside the parentheses:

\[ 3 \left( \frac{21r}{3} + \frac{24s}{3} \right) = 3 (7r + 8s) \]

Final Answer

\(\boxed{3(7r + 8s)}\)

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