Jose factored 27x2 + 48y2 using the following steps.

27x2 + 48y2 = 3(9x2 + 16y2)
= 3(3x + 4y)(3x − 4y)

Determine whether Jose factored this binomial correctly. If not, use complete sentences to explain what he did wrong and how he could check his factors for accuracy in the future

Question

Jose factored 27x2 + 48y2 using the following steps.

27x2 + 48y2 = 3(9x2 + 16y2)
                   = 3(3x + 4y)(3x − 4y)

Determine whether Jose factored this binomial correctly. If not, use complete sentences to explain what he did wrong and how he could check his factors for accuracy in the future

anonymous · Answer

It's wrong because if we distribute 3(3x + 4y)(3x − 4y) we don't get 27x2 + 48y2
Agree with that? Distribute and tell me what do you get! :)