algebra calculator

Algebra calculator

This algebra calculator allows you to calculate mathematical expressions with letters. It is a real online mathematics application that is part of the CAS (computer algebra system) family, it has powerful formal calculation and, of course, numerical calculation possibilities. With it and the calculators it uses, you will be able to calculate derivatives, primitives, complex numbers, fractions, polynomials. It is able to find solutions to equations, inequations and even systems of equations. Its features are numerous and powerful, which does not prevent it from being very easy to use, thanks to its input assistants. One of the strong points of the algebraic calculator is its ability to explain the calculations, indeed, thanks to its step-by-step mode, the calculation techniques used to determine the results are detailed.

Algebraic calculations with the mathematical expression calculator

The mathematical expressions calculator is more than a simple calculator, it combines the possibilties of the various calculators available on this site :

The mathematical expressions calculator is a powerful algebraic calculation tool, it is able to analyze the type of expression to calculate and use the appropriate calculator to determine the result. For some calculations, in addition to the result, the different calculation steps are returned.

The calculator can in the manner of a standard calculator use the different arithmetic operators (+, -, *,:, /), but also the comparison operators (=,>,<,>=,<=). it can be used with parentheses to define calculation priorities.

In short, all this is a small glimpse of what makes this calculator, what must be remembered is that it is a complete calculator that has powerful functions, and that can explain some calculations. The following examples illustrate the possibilities of this calculator. To discover all the features of the calculator, you can consult the online tutorial.

Example of a calculation with fractions

• Writing as a fraction of the expression `1/4+5/7+4/6` with the fraction calculator
1. To calculate the addition fraction, the fractions are reduced to a common denominator and then added numerators.
1. We obtain `1/4+5/7+4/6=((1/4+5/7)*6+4)/6`
2. Divide by a fraction equivalent to multiplying by the inverse of this fraction, using this rule, it is possible to convert a fraction of the quotient in fraction of product and to apply the rules of simplification of a fraction product.
3. We thus obtain `(137/14)/6=137/14*1/6`
2. The result of the calculation is : `(137/14)/6=137/84`
3. The result of the calculation is : `1/4+5/7+4/6=137/84`

Example of a calculation with an equation

• Step by step resolution of the equation : `3*x+4=0;x`


• Separating the terms which depend on the variable of those that do not depend on :
  `3*x = -4`


• Dividing by the variable coefficient :


• `x = -4/3`


• The solution of equation `3*x+4=0` is `[-4/3]`

Advanced algebraic calculations

The algebra calculator is able to recognize functions, polynomials, equalities, inequalities, fractions, integers, decimals, complex numbers, vectors and matrices. Thus if the algebraic calculator recognizes that the result is a function, it will propose to apply a series of operations specific to functions such as the calculation of the derivative, the calculation of the integral, the calculation of the limit, the search for the values for which the function cancels itself, to draw the function.

Example of a calculation with a function

`"derivative"(2*x^2+3*x-5;x)`	4*x+3	3+4*x
`"antiderivative"(2*x^2+3*x-5;x)`	`(2*x^3)/3+(3*x^2)/2-5*x`
`"is_odd_or_even_function"(2*x^2+3*x-5)`	-1
`"equation_tangent_line"(2*x^2+3*x-5)`	y=-5+3*x	[y=-5+3*x]
`"discriminant"(2*x^2+3*x-5;x)`	49
`"degree"(2*x^2+3*x-5)`	2
`"valuation"(2*x^2+3*x-5)`	0


Other calculations
• array_values(`2*x^2+3*x-5`)
• limit(`2*x^2+3*x-5`)
• integral(`2*x^2+3*x-5`)