Factoring Problem: Converting [-s(s-(s-1)-2s+n(n+1)] to (n-s)(n+s+1)

MHB
Thread starter danny12345
Start date Oct 17, 2015
Tags

Factoring

In summary, factoring is the process of breaking down a mathematical expression into smaller parts or factors to simplify complex equations and understand the relationships between different variables. It is important in solving equations and has real-world applications. Factoring can be done by finding common factors and using different techniques. Converting expressions to a factored form can make them easier to solve and see relationships between variables. Factoring can be used for any type of equation in polynomial form.

Oct 17, 2015

danny12345

how do you convert this
[-s(s-(s-1)-2s+n(n+1)]
into (n-s)(n+s+1)

Mathematics news on Phys.org

Oct 17, 2015

Deveno

Science Advisor

Gold Member

MHB

You have some mis-matched parentheses (3 left, but only 2 right). Re-check what you have posted.

1. What is factoring?

Factoring is the process of breaking down a mathematical expression into smaller parts or factors. It is used to simplify complex equations and make them easier to solve.

2. Why is factoring important?

Factoring is important because it allows us to solve equations and understand the relationships between different variables. It is also used in many real-world applications, such as finding the roots of a polynomial function or simplifying fractions.

3. How do you factor an expression?

The first step in factoring an expression is to look for common factors among all the terms. Then, we can use different factoring techniques such as grouping, difference of squares, or perfect square trinomials to further simplify the expression.

4. What is the purpose of converting [-s(s-(s-1)-2s+n(n+1)] to (n-s)(n+s+1)?

The purpose of converting the expression is to make it easier to solve and to clearly see the relationship between the variables. By factoring out the common terms, we can see that the expression is equal to the product of (n-s) and (n+s+1), which can help us solve for specific values of n and s.

5. Can factoring be used for any type of equation?

Yes, factoring can be used for any type of equation as long as it is in a polynomial form. It is a powerful tool in algebra and can be used to solve linear, quadratic, cubic, and higher degree equations.