Help! Divide: vˆ3-216/v-6. Please help!?

2010-01-19 6:24 am
I really need help with this. I need an explanation and some work...

Divide.

vˆ3-216/v-6

the answer choices i have are:
A) vˆ2-36
B) vˆ2+36
C)vˆ2+6v+36
D)vˆ2-6v+36

回答 (4)

2010-01-19 6:48 am
✔ 最佳答案
a^3 - b^3 ≡ (a - b)(a^2 + ab + b^2)

(v^3 - 216)/(v - 6)
= [(v - 6)(v^2 + 6v + 36)]/(v - 6)
= v^2 + 6v + 36
(answer C)
2010-01-19 6:36 am
once again ED 1 shows no work, what kind of teacher were you special ED?

the formula for breaking down (a^3-b^3) is this (a-b)(a^2+ab+b^2)
so it's easy your numerator is the a3b3 thing so you can factor out (v-6)from the numerator
then the (v-6)s divide to 1 and you're left with v^2+6v+36


i wonder how long ago those 40 years ended... WWII?
2010-01-19 6:31 am
2010-01-19 6:31 am
(v^3 - 216)/(v - 6) = v^2 + 6v + 36

C

Factor the difference of cubes.
參考: I have taught math for over 40 yr.


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