Simplifying Algebraic Expressions with Multiple Variables

  • Thread starter Natasha1
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In summary, the conversation discusses simplifying the expression (3n+2)(3m+2)(3p+2) and the most simplified form is 27mnp + 18(mn+mp+np) + 12(m+n+p) + 8. The participants also discuss if there is a neater way to write the expression, but conclude that the given form is the most simplified and "pretty" version.
  • #1
Natasha1
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Sorry had a long day... just need this checking over please

(3n+2)(3m+2)(3p+2) = 27nmp + 6(m+n+p) + 8 :zzz:
 
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  • #2
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
Jeff Ford said:
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?
 
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  • #4
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
Jeff Ford said:
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 :-)
 

FAQ: Simplifying Algebraic Expressions with Multiple Variables

What is simple algebra?

Simple algebra is a branch of mathematics that deals with the manipulation of symbols and equations to solve for unknown quantities. It involves using basic mathematical operations such as addition, subtraction, multiplication, and division to solve equations and inequalities.

How do I check my simple algebra work?

To check your simple algebra work, you can plug the values you have solved for back into the original equation and see if it makes the equation true. You can also use a calculator to verify your calculations.

What are some common mistakes to look out for when checking simple algebra?

Some common mistakes to look out for when checking simple algebra include forgetting to use the correct order of operations, making a sign error, and dropping or adding a negative sign. It is also important to double-check your calculations for accuracy.

Can I use a calculator to check my simple algebra work?

Yes, you can use a calculator to check your simple algebra work. However, it is important to make sure you are using the correct order of operations and inputting the values accurately to get an accurate result.

How can I improve my understanding of simple algebra?

To improve your understanding of simple algebra, you can practice solving a variety of equations and inequalities, familiarize yourself with the basic rules and properties of algebra, and seek help from a tutor or teacher if needed. You can also use online resources and practice problems to strengthen your skills.

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