Question
Rewrite the expression by factoring out \( (w+6) \) \[ 5 w^{2}(w+6)+3(w+6) \]
Ask by Reeves Mcdonald. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The expression can be rewritten as \((5w^{2}+3)(w+6)\) by factoring out \((w+6)\).
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The Deep Dive
To rewrite the expression by factoring out \( (w+6) \), we first notice that both terms in the expression have \( (w+6) \) as a common factor: \[ 5w^2(w+6) + 3(w+6) \] Now we can factor \( (w+6) \) out of the expression: \[ (w+6)(5w^2 + 3) \] So, the rewritten expression is: \[ (w+6)(5w^2 + 3) \]
