Question
Rewrite each expression as results. a. \( 4 x+x y \)
Ask by Santiago Carroll. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 4x + xy = x(4 + y) \)
Solution
1. Identify the common factor in both terms. Both \( 4x \) and \( xy \) have a common factor \( x \).
2. Factor \( x \) out of the expression:
\[
4x + xy = x(4) + x(y) = x(4 + y)
\]
The expression rewritten is \( x(4 + y) \).
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The Deep Dive
You can factor out the common term \(x\) from the expression \(4x + xy\). This gives you: \(x(4 + y)\) This means you can think of \(4x + xy\) as a product of \(x\) and the sum of \(4\) and \(y\). It simplifies the expression and makes it easier to work with!