Question 6 of 8 , Step 1 of 1 Completely factor the expression by grouping, if possible. Correct \[ \text {. } \] Answer
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The Deep Dive
When factoring by grouping, it's all about rearranging and regrouping terms to find common factors. For instance, if you have an expression like \( ax + ay + bx + by \), you can group them as \( (ax + ay) + (bx + by) \) and then factor out the common terms: \( a(x + y) + b(x + y) = (x + y)(a + b) \). This method works best when you have four terms, but don’t forget to check for any common factors in pairs or trios as well. If your expression is not factorable by grouping, you might need to look for other techniques like factoring by common factors or using the quadratic formula if you’re dealing with a quadratic expression. Happy factoring!
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