What Is The Number Of Distinct Terms In The Expansion Of (A + B + C)20?

In mathematics, a term is a mathematical object that can represent a quantity, symbolically. For example, the terms 1, 2, 3, 4 are all examples of terms that can represent natural numbers (1, 2, 3, 4). In algebraic geometry, there are certain operations that can be performed on terms involving one or more variables. These operations produce new terms (called derivatives), which play an important role in the study of geometry. In this blog post, we will investigate the expansion of a certain set of terms. What you will learn is a little bit about mathematics and a lot about how sets work. So if you’re looking to brush up on your math skills or just want to learn something new, read on!

What is the expansion of (A + B + C)?

The expansion of (A + B + C) is the sum of the expansions of each term. The expansions are as follows:

(A + B) = A + (B + 1)
(B + C) = B + (C + 1)
(C + D) = C + (D+1)

Thus, the expansion of (A + B + C) is 6.

How to calculate the number of distinct terms in the expansion of (A + B + C)?

The number of distinct terms in the expansion of (A + B + C) is the product of the numbers of terms in each individual Expansion:

## Answer ( 1 )

Q&A Session## What Is The Number Of Distinct Terms In The Expansion Of (A + B + C)20?

In mathematics, a term is a mathematical object that can represent a quantity, symbolically. For example, the terms 1, 2, 3, 4 are all examples of terms that can represent natural numbers (1, 2, 3, 4). In algebraic geometry, there are certain operations that can be performed on terms involving one or more variables. These operations produce new terms (called derivatives), which play an important role in the study of geometry. In this blog post, we will investigate the expansion of a certain set of terms. What you will learn is a little bit about mathematics and a lot about how sets work. So if you’re looking to brush up on your math skills or just want to learn something new, read on!

## What is the expansion of (A + B + C)?

The expansion of (A + B + C) is the sum of the expansions of each term. The expansions are as follows:

(A + B) = A + (B + 1)

(B + C) = B + (C + 1)

(C + D) = C + (D+1)

Thus, the expansion of (A + B + C) is 6.

## How to calculate the number of distinct terms in the expansion of (A + B + C)?

The number of distinct terms in the expansion of (A + B + C) is the product of the numbers of terms in each individual Expansion:

(A + B) =

(A × 1) + (B × 2)

=

1 + 2

= 3 Terms

(C + D) =

(C × 1) + (D × 2)

=

1 + 2

= 3 Terms

## Conclusion

There are a total of 20 terms in the expansion of (A + B + C)20.