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Factoring (or factorization) means finding combinations of integers that multiply together to give the integer being factored.

( As defined by eHow)

5 x 3 = 15

5 and 3 are factors of the product.

finding the factors= Factoring

Eq: X2 + 4x + 4 = 0

F: (x+2)(x+2)

Expanding is literally expanding.

Eq: (x+2)(x+2)= x2+4x+4

-hopes this helps

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What is the opposite to expanding expressions?

The opposite of expanding expressions is factoring them. While expanding involves distributing and combining like terms to create a polynomial from its factors, factoring breaks down a polynomial into its constituent factors or simpler expressions. This process often reveals the roots or zeros of the polynomial. Both techniques are fundamental in algebra for manipulating and solving equations.


What is the opposite of expanding expressions?

The opposite of expanding expressions is factoring. While expanding involves distributing and combining like terms to create a longer expression, factoring entails breaking down an expression into simpler components or products. This process often reveals the underlying structure of the expression, making it easier to solve equations or analyze mathematical relationships.


What are the 5 kinds of factoring?

the 5 kinds of factoring are common monomial factor, difference of two cubes, quadratic trinomial, perfect square trinomial,and difference of two square.


Factoring with repeated use of the difference of squares formula?

15y4-39y3+18y2


What are the laws of factoring polynomials?

The laws of factoring polynomials include several key principles: First, identify common factors among terms to factor them out. Second, apply special factoring techniques, such as the difference of squares, perfect square trinomials, and the sum or difference of cubes. Third, use the quadratic formula or factoring by grouping for polynomials of higher degrees. Lastly, always check for irreducibility, ensuring the polynomial is factored completely.

Related Questions

What is the difference between factoring and expanding expressions?

Factoring expressions involves breaking down a mathematical expression into simpler components, often to simplify calculations or solve equations. For example, factoring (x^2 - 5x + 6) yields ((x - 2)(x - 3)). In contrast, expanding expressions refers to multiplying out factors to return to a polynomial form, such as transforming ((x - 2)(x - 3)) back into (x^2 - 5x + 6). Essentially, factoring condenses an expression, while expanding elaborates it.


Difference between pledging and factoring accounts receivable?

pledging is a


What is the difference multiplying binomials with factoring polynomials into binomial factors?

It's the difference between multiplication and division. Multiplying binomials is combining them. Factoring polynomials is breaking them apart.


What are the kinds of factor?

factoring whole numbers,factoring out the greatest common factor,factoring trinomials,factoring the difference of two squares,factoring the sum or difference of two cubes,factoring by grouping.


What is the difference between factoring and discounting invoice?

The difference between factoring and invoice discounting is how public the third party makes themselves to a companies customers. With factoring customers are likely to notice the third party, and invoice discounting will leave most customers unaware of a third party.


What is the difference between factoring and solving?

The difference between factoring and solving is...Factoring: The answer would be in multiplication form.Example: x²+7x+12=0 is the same as (x+3)(x+4)Solving: The answer would be what the unknown variable is equal too.Example: x²+7x+12=0 is the same as x=-3 or X=-4


What is manufacturer exporter?

the factoring difference between the and you.


When to use factoring the difference between two square?

For example: 4x2-36 = (2x-6)(2x+6) when factored and is the difference of two squares


What is the opposite to expanding expressions?

The opposite of expanding expressions is factoring them. While expanding involves distributing and combining like terms to create a polynomial from its factors, factoring breaks down a polynomial into its constituent factors or simpler expressions. This process often reveals the roots or zeros of the polynomial. Both techniques are fundamental in algebra for manipulating and solving equations.


What is the opposite of expanding expressions?

The opposite of expanding expressions is factoring. While expanding involves distributing and combining like terms to create a longer expression, factoring entails breaking down an expression into simpler components or products. This process often reveals the underlying structure of the expression, making it easier to solve equations or analyze mathematical relationships.


What are the 5 kinds of factoring?

the 5 kinds of factoring are common monomial factor, difference of two cubes, quadratic trinomial, perfect square trinomial,and difference of two square.


When factoring a difference of two and 8203 squares the final answer will be in what and 8203 form?

Their sum and their difference.