# Factoring calculator

## Calculus factoring_calculator

The factoring calculator allows to factor an algebraic expression online with steps.

### Function : factoring_calculator

#### Summary :

The factoring calculator allows to factor an algebraic expression online with steps.

factoring_calculator online

# Factoring calculator with steps

Factor calculator allows factoring online an algebraic expression, to achieve factoring an expression algebraic online different methods are used:

The factoring calculator then returns the factorized form of the algebraic expression placed in parameter.

## Factoring online by searching for common factors

The factoring calculator is able to recognize the common factors of an algebraic expression :

## Factorization using the special expansions

The factoring calculator is able to recognize the outstanding common identities and using them to factor algebraic expressions.

• the following special expansion a^2+b^2+2ab=(a+b)^2 is used to factor the expression 1+2x+x^2, The result returned by the function is (1+x)^2
• the following special expansion a^2+b^2-2ab=(a-b)^2 is used to factor the expression 1-2x+x^2 factoring_calculator(1-2x+x^2), the result returned will be the expression following factored (1-x)^2
• the following special expansion a^2-b^2=(a-b)*(a+b) is used to factor the expression 1-x^2, The result returned by the function is (1-x)(1+x)

Factor calculator is able to recognize quadratics polynomials and factoring them when possible.

• Thus, the function allows to factor online the following quadratic polynomial -6-x+x^2, the result returned by the function is the expression factored (2+x)*(-3+x)
• For example by typing factoring_calculator(-1/2+x/2+x^2), returns online factorization of quadratic polynomial ie (1+x)*(-1/2+x)
• For getting the factored form of the following polynomial -21+4*x+x^2, simply type factoring factoring_calculator(-21+4*x+x^2), then the function returns the factorization of the quadratic polynomial (7+x)*(-3+x)

## Factoring fractions

The factoring calculator is able to factor algebraic fractions with steps :

• Thus, the factoring calculator allows to factorize the following fraction (x+2*a*x)/b, the result returned by the function is the factorized expression (x*(1+2*a))/b
• For example by entering factoring_calculator((-1/2+x/2+x^2)/b), the function will return the online factorisation of the fraction, i.e. ((1+x)*(-1/2+x))/b
• To obtain the factorised form of the following fraction (-21+4*x+x^2)/(1+2*x+x^2), simply enter factoring_calculator((-21+4*x+x^2)/(1+2*x+x^2)), the function will then return the factorisation of the fraction of the polynomials of the 2nd degree ((7+x)*(-3+x))/((1+x)^2)

## Games on factoring

The site offers quizzes on factoring that allow you to practice factoring many forms of expressions.

The factoring calculator allows to factor an algebraic expression online with steps.

#### Syntax :

factoring_calculator(expression)

#### Examples :

##### Factor an expression

Calculate online with factoring_calculator (Factoring calculator)