which student factored the expression correctly? evelyns answer: 6w + 30 = 3(2w + 10) dianas answer: 6w + 30…
which student factored the expression correctly? evelyns answer: 6w + 30 = 3(2w + 10) dianas answer: 6w + 30 = 6(w + 5)
Answer
Explanation:
Step1: Check Evelyn's factorization
We expand $3(2w + 10)=3\times2w+3\times10 = 6w + 30$. But we can factor out the greatest - common factor. The GCF of $6w$ and $30$ is $6$, not $3$.
Step2: Check Diana's factorization
We expand $6(w + 5)=6\times w+6\times5=6w + 30$. And $6$ is the greatest - common factor of $6w$ and $30$.
Answer:
Diana