Simplify Calculator : How to use it?
Calculator wich can simplify an algebraic expression online.
Syntax :
simplify(expression)
Examples :
- simplify(x*x+2*x-x) returns x+x2
- simplify(cos(x+pi/2)+cos(-x)+sin(x+pi)) = cos(x)-2⋅sin(x)
- simplify(cos(x)^2+sin(x)^2+cos(x/2)^2+sin(x/2)^2) = 2
Simplify an expression or cancel an expression means reduce it by grouping terms. The calculator allows with this computer algebra function of reducing an algebraic expression. Used with the function expand, the function simplify can expand and collapse a literal expression.
With this algebra simplifier, you can :- Simplify an algebraic expression
- Simplify a numerical expression
- Simplify fractions
- Simplify complex numbers
- Simplify maths functions
- Simplify trigonometric expressions
- Simplify surds
Simplify an algebraic expression
The calculator is able to do calculation with letters (literal calculation), this function allows you to group, collect the terms of an expression to obtain a reduced form of this expression.
To simplify an expression, enter the expression to cancel and apply the function simplify. Thus, for the simplification of the expression following a+2a, type simplify(a+2a) or directly a+2a, after calculating the reduced form of the expression 3a is returned.
The calculator simplification possibilities applies to alphanumeric expressions and therefore also to purely numerical expressions.
Here is an example of simplifying an expression that includes letters and decimal numbers, obtained with the calculator:
- -3.6-1.9⋅t+1.2+5.1⋅t=-2.4+3.2⋅t
Simplify a numerical expression
The symplify calculator also applies to numeric expressions, it allows to do exact calculation with numbers :
- For example, the calculator is able to simplify the following expression 1+2-5, to get the result of this calculation, enter simplify(1+2-5), the calculator returns -2
- Another example of expression that the calculator is able to simplify 1+2-53, to reduce this expression, enter simplify(1+2-5/3), after calculating the result 43 is returned.
Simplify fractions
This calculator offers the possibility to simplify a fraction, to do expression calculation composed of fractions and to give the result as an irreducible fraction as the specialized fraction calculator does. The fraction calculator has however the particularity to provide the steps of the calculations allowing to obtain the reduced fraction .
The algebraic calculator can for example simplify a fraction like this : 2k+12k, just enter : simplify(2^(k+1)/2^k). It should be noted that in this fraction, the numerator exponent and the denominator exponent contain letters. Thanks to its literal computing capabilities, the calculator can easily simplify this fraction.
Simplify complex numbers
The calculator allows you to manipulate complex numbers in their algebraic form, it can simplify an expression composed of complex numbers as does the site's complex number calculator .
Simplify functions thanks to their properties
The calculator uses different methods to simplify mathematical expressions: it uses function parity to simplify certain results.
For example, to simplify the following expression simplify(cos(x)+cos(-x)) , the calculator uses the parity of the cosine function. For some calculations, the calculator specifies the properties used to simplify the results, as shown in the previous example.
Simplify trigonometric expressions
The calculator also allows you to manipulate trigonometric expressions, it can simplify this type of expression by using the usual trigonometric formulas .
It is thus possible to use this calculator as a trigonometry calculator to simplify trigonometric expressions such as the following simplify(cos(x+pi/2)+cos(-x)+sin(x+pi)). For some calculations, the calculator specifies the properties used to reduce the results, as shown in the previous example.
Simplify surds
The calculator also allows you to symplify surds, it can simplify square root by using the square root function properties.
Exercises, games and quizzes on simplifying algebraic expressions.
To practice the different calculation techniques, several quizzes on the simplification of algebraic expressions are proposed.
- Calculation of the monthly payments of the insurance of a credit : loan_insurance. Credit insurance monthly payment calculator: real estate credit, consumer credit, and other types of credit.
- Algebra calculator : calculator. Calculator that allows to make algebraic calculation by combining operations with letters and numbers, and to indicate the steps of calculation.
- Simplifying surds calculator : simplify_surd. Online surds calculator that allows you to make calculations in exact form with square roots: sum, product, difference, ratio.
- Trigonometric Calculator : simplify_trig. Calculator wich uses trigonometric formula to simplify trigonometric expression.
- List of calculations applicable to an algebraic expression : see_possible_calculations. Return the list of calculations that can be done on an algebraic expression.
- Calculation of binomial coefficients : binomial_coefficient. A binomial coefficient calculator that allows you to calculate a binomial coefficient from two integers.
- Partial fraction decomposition calculator : partial_fraction_decomposition. The calculator allows a rational fraction to be broken down into simple elements.
- Derivative calculator : derivative. The derivative calculator allows steps by steps calculation of the derivative of a function with respect to a variable.
- Taylor expansion calculator : taylor_series_expansion. The taylor series calculator allows to calculate the Taylor expansion of a function.
- Logarithmic expansion : expand_log. The calculator makes it possible to obtain the logarithmic expansion of an expression.
- Trigonometric expansion : expand_trigo. The calculator makes it possible to obtain the trigonometric expansion of an expression.
- Expand calculator : expand. Calculator is able to expand an algebraic expression online and remove unnecessary brackets.
- Expand and simplify an algebraic expression online : expand_and_simplify. Online calculator that allows you to expand and reduce an algebraic expression.
- Factoring calculator : factor. The factoring calculator allows to factor an algebraic expression online with steps.
- Solved mathematical exercises generator : exercise_generator. Returns a list of mathematical exercise statements and their solutions that can be used by teachers to prepare tests and quizzes.
- Integral calculator : integral. The integral calculator calculates online the integral of a function between two values, the result is given in exact or approximated form.
- Indefinite integral calculator : antiderivative. The antiderivative calculator allows to calculate an antiderivative online with detail and calculation steps.
- Limit calculator : limit. The limit calculator allows the calculation of the limit of a function with the detail and the calculation steps.
- Trigonometric linearization : linearization_trigo. Calculator that allows to linearize a trigonometric expression.
- Calculation of the monthly payments of a loan : monthly_loan. Loan monthly payment calculator : home loan, consumer loan, and other types of loan.
- Scientific online calculator : evaluate. Online Scientific Calculator to calculate algebraic expressions and get a numerical result.
- Simplify Calculator : simplify. Calculator wich can simplify an algebraic expression online.