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## What is expansion formula?

The binomial expansion formula is, (x+y)^{n} = x^{n} + nx^{n}^{–}^{1}y + n(n−1)2!

## What does it mean to expand math?

” Expanding ” means removing the ( ) but we have to do it the right way! ( ) are called “parentheses” or “brackets” Whatever is inside the ( ) needs to be treated as a “package”. So when multiplying: multiply by everything inside the “package”.

## How do you expand a binomial expansion?

To get started, you need to identify the two terms from your binomial (the x and y positions of our formula above) and the power (n) you are expanding the binomial to. For example, to expand (2x-3)³, the two terms are 2x and -3 and the power, or n value, is 3.

## How do you expand a number?

We know that the number written as sum of the place-values of its digits is called the expanded form of a number. In expanded form of a number, the number is shown according to the place values of its digits. Thus, 2000 + 300 + 80 + 5 is the expanded form of 2385.

## What expand mean?

transitive verb. 1: to open up: unfold. 2: to increase the extent, number, volume, or scope of: enlarge. 3a: to express at length or in greater detail.

## How do you simplify?

To simplify any algebraic expression, the following are the basic rules and steps:

- Remove any grouping symbol such as brackets and parentheses by multiplying factors.
- Use the exponent rule to remove grouping if the terms are containing exponents.
- Combine the like terms by addition or subtraction.
- Combine the constants.

## How do you combine like terms step by step?

When you combine like terms, be sure to use the + or – that is in front of the coefficient, or number in before the letter. So in this case, we will add the 3, 5 and 9 that is in front of the x terms. Then we will subtract 7 and 4 that is in front of the y terms.

## How do you simplify equations?

Here are the basic steps to follow to simplify an algebraic expression:

- remove parentheses by multiplying factors.
- use exponent rules to remove parentheses in terms with exponents.
- combine like terms by adding coefficients.
- combine the constants.