Math calculators by MathCrave is capable of solving and generating quick and accurate answers for various math topics across different grade levels.

Follow steps below to use **math calculators**

Math calculators cover topics such as Number and Operations, Geometry and Measurement, Algebraic Thinking, Data Analysis and Probability. It includes grade levels from 4th grade to 12th grade, as well as university level math courses such as Calculus, Linear Algebra, Differential Equations, Abstract Algebra, Real Analysis, Complex Analysis, Number Theory, Probability and Statistics, Discrete Mathematics, Mathematical Modeling, Numerical Analysis, and Mathematical Logic. *Version 1.1*

Select "**FAC**" button and enter expression like so

**x^2 + 3*x - 4****25 * a^2 * b^5 - 5*a^3 * b^2**x^3 + 3*x^2 - x-3

If you have a square root within an expression do this

**number^(1/2)****3^(1/2)**

Select "**SIM**" button and enter expression like so

**(2*x − 3*y)^2**

Expression with an exponent or power uses ( ^ )to raise the index

**wrong expression x2, right expression x^2****4 (a^2 - 3a(2b + a) + 7ab )****(p+q)(p−q)**

Use this ( ) not this [ ], if you have multiple brackets in an expression

**4 ( a^2-3a (2b+a)+7ab )**

Select "**EXP**" button and enter expression like so

**(x-y)(3x+6y)**

Expression with an exponent or power uses ( ^ )to raise the index

**(x-y)^3**

Select "**PLD**" button and enter expression as shown below

**3x^3+x^2+3x+5,x+1 OR****3*x^3 + x^2 + 3*x + 5, x+1**

Use comma (,) to separate between the dividend and divisor

**Dividend: 3x^3+x+3x+5****Divisor: x+1****Follow by division sign: use comma (,)****Like so: 3x^3+x^2+3x+5 , x+1**

Select "**LCM**" button and enter expression like so

**3, 6, 9 12, 18**

Use comma (,) to separate the sample data entered

**sample 1, follow by comma, then the next sample 2 and so forth.**

Select "**TRM**" button and enter expression like so

**[x,y], [a,b]**

For 3 by 3 matrix transpose, do this. Use [ ] to input every set separated by comma

**[1,2,3], [4,5,6], [7,8,9]**

Select "**INV**" button and enter expression as shown

**[3,4,-1], [2,0,7], [1,-3,2]**

Select "**DOT**" button and enter expression as shown

**[3,4,-1], [2,0,7]**

Select "**RCP**" button and enter expression as shown

**12 + 7i****a*x + x*b*i**

Select "**PCR**" button and enter expression as shown

**e^(atan(1/3)*i)*sqrt(61)**

Select "**QCQ**" button and enter expression as shown

Solving quadratic equation expression

**x^2+3x-5****x^2=16****4x^2-25=0****2x^2+5x=3****4x^2- 1/16=0**

Solving cubic or quartic equation

**x^3=1****x^3+5x-2=4x^2****x^4=-1****x^4+x^3+2x^2-x+7=0**

Select "**DFF**" button and enter expression as shown

Differentiation of common functions

**x^2+3x-5****x^2=16****4x^2-25=0****2x^2+5x=3****4x^2- 1/16=0**

Differentiation coefficients of a given functions with respect to x containing a SQUARE ROOT

**2 * sqrt(x)**

Differential coefficients containing trigonometric functions

**3 * sin(4x)**

Function containing fractional exponent or index

**2 * x^(5/3)**

Differentiation coefficients containing a fractional number and a SQUARE ROOT

**4 / sqrt(x)****(1-sqrt(x)) / (x)**

**Differentiation of a product.**

Use ( * ) to separate the functions when you have a differential coefficient that has two functions

( numerator)/ (denominator)

**( 4*sin(5x) )/ (5x^4)**

Sometimes, the quotient feature may be presented in form of trigonometry

**tan (x) = sin(x) / cos(x)****sin(x) / x**

Select "**INT**" button and enter expression as shown

Standard integrals: a reverse process of differentiation. See below sample expression for integral functions using the integral calculator

**3****3x****3x^2****4 + (3/7)x-6x^2**

Integral containing a SQUARE ROOT

**3*x^(1/2)**

Integral coefficients containing a division, fractional number and a SQUARE ROOT

**5*e^(3x)****(2) / (3*e^(4x) )**

Function containing fractional exponent or index

**2 * x^(5/3)****( 1-x^(1/2) ) / x****3x^2*sin(2x)**

Select "**LAP**" button and enter expression as shown

Standard integrals: a reverse process of differentiation. See below sample expression for integral functions using the integral calculator

**6*sin(3*t)- 4*cos(5*t)**

Note: To find the Laplace Transform of the sample below, enter the expression as shown. Always separate the product of a constant and variable by (*) and any value after the trigonometric function must be inside the bracket

**3*x^(1/2)**

It can also solve hyperbolic functions

**2*cosh(2*t)- sinh(3*t)**

It solves Laplace transforms of derivatives

**(e^-t)*sin(3*t)****2t^4*e^(3t)**

Select "**PFR**" button and enter expression as shown

Enter the numerator and place in a bracket ( ) using / forward slash as a division, then enter denominator then place it in the bracket ( ).

**(numerator) / ( denominator )**

Partial fraction containing linear factors in the denominator

**(11-3x)/(x^2+2x-3)**

When converting or resolving a partial fractions into the sum of three partial fractions do this

**(numerator) / ( ( den 1 ) ( den 2 )( den 3 ) )****(2x^2 -9x -35) / ( ( x+1) ( x-2 )( x+3 ) )**

Partial fractions with repeated linear factors

**(numerator) / ( denominator )^2****(2x+3) / ( x-2 )^2**

partial fractions with quadratic factors

**(numerator ) / ( ( quadratic)( linear) )****(7x^2+5x+13 ) / ( ( x^2+2)( x+1 ) )**

MathCrave math calculators can handle a wide range of functions, including simplifying equations and solving systems of linear or non-linear equations, quadratic, cubic, and quartic equations. It also offers quick solutions for partial fractions involving linear, repeated linear, and quadratic fractions, as well as Laplace Transform and integral calculations.

Master these simple instructions on how to use the calculator to get the best and accurate result

When a math expression contain division with one or more denominators

**(numerator) / ( denominator )****(numerator) / ( denominator1 ) * ( denominator2 )**

When math expression contains power or index

**(a+b)^(index)****a^(index)**

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