Homework Help: Calculus STUCK

Posted by -Untamed- on Tuesday, October 4, 2011 at 10:03pm.

Dont know if the radicals will show up..

2Бу3(Бу243-2)-Бу2(5+7Бу2) Can be expanded and simplified to the form
p + qБу2 + rБу3. the value of p + q + r is_____

First I simplified the V243 and I got 9V3

2V3(9V3-2)-V2(5+7V2)
18V9-4V3-5V2-7V2
54-4V3-5V2-7V2
54-4V3-12V2

But this just doesnt work out, and i have no idea what ive done wrong.

Calculus STUCK - Reiny, Tuesday, October 4, 2011 at 10:11pm
2√3(√243-2)-√2(5+7√2)
= 2√729 - 4√3 - 5√2 - 7√4
= 54 - 4√3 - 5√2 - 14
= 40 - 4√3 - 5√2

comparing this with
p + q√2 + r√3
p=40, q= -5, and r = -4

so p+q+r = 40-5-4 = 31

check my arithmetic.
Calculus STUCK - -Untamed-, Tuesday, October 4, 2011 at 10:19pm
Ok, so I missed out the 4, and ended up writing 7V2. That missing out the 4 messed up everything, and yup you are right, thanks a bunch =D

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