Hernando and Rachel are factoring 2mp-6p+27-9m. Is either of them correct? Explain your reasoning,
1 answer:
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as Hernando and Rachel's solution are not provided. So, I will just solve the question directly.
Given

Required
Factor

Group into 2
![2mp-6p+27-9m = [2mp-6p]+[27-9m]](https://tex.z-dn.net/?f=2mp-6p%2B27-9m%20%3D%20%5B2mp-6p%5D%2B%5B27-9m%5D)
Factor each group
![2mp-6p+27-9m = 2p[m-3]+9[3-m]](https://tex.z-dn.net/?f=2mp-6p%2B27-9m%20%3D%202p%5Bm-3%5D%2B9%5B3-m%5D)
Rewrite 3 - m as -(m-3)
So, we have:
![2mp-6p+27-9m = 2p[m-3]-9[m-3]](https://tex.z-dn.net/?f=2mp-6p%2B27-9m%20%3D%202p%5Bm-3%5D-9%5Bm-3%5D)
Factor out m - 3
![2mp-6p+27-9m = [2p-9][m-3]](https://tex.z-dn.net/?f=2mp-6p%2B27-9m%20%3D%20%5B2p-9%5D%5Bm-3%5D)
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I don't understand the language but I can do it