Simplifying Algebraic Expressions with Multiple Variables

[Natasha1]

Sorry had a long day... just need this checking over please

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

 

[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.

 

[Natasha1]

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.

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?

 

[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.

 

[Natasha1]

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.

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