When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

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## How do you factor the difference between two terms?

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

## How do you factor a polynomial with 2 terms?

Step 1: Group the first two terms together and then the last two terms together. Step 2: Factor out a GCF from each separate binomial. Step 3: Factor out the common binomial. Note that if we multiply our answer out, we do get the original polynomial.

**What is the formula for the difference of two cubes?**

The sum or difference of two cubes can be factored into a product of a binomial times a trinomial. That is, x3+y3=(x+y)(x2−xy+y2) and x3−y3=(x−y)(x2+xy+y2) .

### What are the steps in factoring the difference of two squares?

To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)

### How do you factor large polynomials?

Factoring Higher Degree Polynomials

- Step 1: Identify possible rational roots. The factors of -12 are: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12.
- Step 2: Use synthetic division to test possible roots.
- Step 3: Write two factors.
- Step 4: Factor the remaining quadratic.
- Step 5: Write the final factored answer.

**How do you factor x2 y2?**

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 – b 2 = ( a + b ) ( a – b ) where a=x and b=y .

#### How is squared difference calculated?

Find the squared difference from the mean for each data value. Subtract the mean from each data value and square the result. Find the sum of all the squared differences. The sum of squares is all the squared differences added together.

#### How will you factor difference of two squares write step by step process?

How to Factor the Difference of Two Perfect Squares

- Find the square roots of the two terms that are perfect squares.
- Write the factorization as the sum and difference of the square roots. The sum of the roots is 3x + 4 and the difference between the roots is 3x – 4.

**How do you factor large numbers?**

To calculate the factors of large numbers, divide the numbers with the least prime number, i.e. 2. If the number is not divisible by 2, move to the next prime numbers, i.e. 3 and so on until 1 is reached. Below is an example to find the factors of a large number.