Checking simple algebra

1. Feb 13, 2006

Natasha1

(3n+2)(3m+2)(3p+2) = 27nmp + 6(m+n+p) + 8 :zzz:

2. Feb 13, 2006

Jeff Ford

Not what I got. Try multiplying the first two terms, then multiplying the result by the third term. There is something missing in the middle.

3. Feb 13, 2006

Natasha1

I get this

27 nmp+18p(m+n)+12p+18nm+12(m+n)+8

but isn't there a nicer way to simplify it like (3n+2)(3m+2)= 9nm+6(n+m)+4
which is all neat and tidy?

Last edited: Feb 13, 2006
4. Feb 13, 2006

Jeff Ford

It's not a particularly tidy problem. I got the same answer you did, but wrote it like this

27mnp + 18(mn+mp+np) + 12(m+n+m) + 8

That's about as pretty as it gets.

5. Feb 13, 2006

Natasha1

Thanks sunshine! you must have meant 27mnp + 18(mn+mp+np) + 12(m+n+p) + 8 :-)