Algebra Solver and Math Simplifier that SHOWS WORK

Algebra ->  Graphical Expression Rendering -> Algebra Solver and Math Simplifier that SHOWS WORK      Log On


   
Plot a formula | 
Expression Simplifier and Solver
 | 


YOUR ANSWER


  • Graphical form: %282%2Ax%2B2%2Ay%29%2F2 simplifies to x%2By
  • Text form: (2*x+2*y)/2 simplifies to x+y
  • Cartoon (animation) form: simplify_cartoon%28+%282%2Ax%2B2%2Ay%29%2F2+%29
    For tutors: simplify_cartoon( (2*x+2*y)/2 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%282%2Ax%2B2%2Ay%29%2F2+%29.
Expanded term 1%2F2 by using associative property on %282%2Ax%2B2%2Ay%29
It becomes highlight_green%28+1%2F2%2A2%2Ax+%29%2Bhighlight_green%28+1%2F2%2A2%2Ay+%29.
Look at 1%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+2+%29%2Ax%2B1%2F2%2A2%2Ay.
Factors 2 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes 1%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+1+%29%2Ax%2B1%2F2%2A2%2Ay.
Look at highlight_red%28+1+%29%2F1%2Ahighlight_red%28+1+%29%2Ax%2B1%2F2%2A2%2Ay.
Multiplied numerator integers
It becomes highlight_green%28+1+%29%2F1%2Ax%2B1%2F2%2A2%2Ay.
Look at 1%2F1%2Ax%2B1%2Fhighlight_red%28+2+%29%2Ahighlight_red%28+2+%29%2Ay.
Factors 2 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes 1%2F1%2Ax%2B1%2Fhighlight_green%28+1+%29%2Ahighlight_green%28+1+%29%2Ay.
Look at 1%2F1%2Ax%2Bhighlight_red%28+1+%29%2F1%2Ahighlight_red%28+1+%29%2Ay.
Multiplied numerator integers
It becomes 1%2F1%2Ax%2Bhighlight_green%28+1+%29%2F1%2Ay.
Look at highlight_red%28+1+%29%2Fhighlight_red%28+1+%29%2Ax%2B1%2F1%2Ay.
Reduce similar several occurrences of highlight_red%28+1+%29 to
It becomes x%2B1%2F1%2Ay.
Look at x%2Bhighlight_red%28+1+%29%2Fhighlight_red%28+1+%29%2Ay.
Reduce similar several occurrences of highlight_red%28+1+%29 to
It becomes x%2By.
Result: x%2By

Universal Simplifier and Solver

Welcome to Graphical Universal Mathematical Expression Simplifier and Algebra Solver (GUMESS).
It solves most middle school algebra equations and simplifies expressions, and it SHOWS ALL WORK. It is free to use.

Enter expression to be simplified, or equation to be solved.
I will figure out if what you typed is an equation.

Enter Expression ==>     
Examples: x^2-2x=-1, 3x-x-x+a-a=5, (x^2-1)/(x+1), 2x-(x+x)


Single letter variables only, no functions, xy means x*y, x(x-1) means x*(x-1), sin(x) means s*i*n*(x)


You must use the "*" (star) symbol for all multiplications! x(x+1) is WRONG! It means a function x of x-1. x*(x-1) is right. Use the ^ (caret) for exponentiation. x^2 means x squared. x/2y means x%2F2y
Resources: Simplifier Portal, help with entering simplifier formulas (a must read).


Or, click on any of these examples: 1, 2-1, 2%5E2-4%5E1, %281%29, -%28-1%29, %28%28%28%28x%29%29%29%29-x, -%28-%28-%28-%28-%28x%29%29%29%29%29%2Bx, %28%28%28%28x%29%29%29%29-y%2Ax%2A2%2Fy, %28x%2B1%29%2F%28x%2B1%29, %281%2Bx%29%2F%28x%2B1%29, %281%2Bx%29%2F%282%2A%28x%2B1%29%29, x-x%2Bx, x%2A%28y%2Az%29+-+%28x%2Ay%29%2Az, %28x-1%29%2A%28y-1%29-%28y-1%29%2A%28x-1%29, %28x-1%29%2A%28y-1%29-%28%28y-1%29%2Fx%29%5E%282-1%29%2A%28x-1%29%2Ax, 2%2A2%2A2%5E2%2Ax-x, 1%2F%282%2Bx%2Ay-y%2Ax%5E2%2F%28x%2B0%29%29, x%5E%28y%2Bz%29-x%5E%28z%2By%29, x-x%2F2, x=x, x%2B1=2, 0=5-x-7, %28x%5E2-x-2%29%2F%28%28x%2B1%29%2F%282x%2B2%29%29=0, %28x-1%29%28x-2%29%2F%28x%2B1%29=0, %28x%5E2-x-2%29=0, %28x%5E2-x-2%29%2A%28x%5E2-x-2%29%2F%28x%5E2%2B2%2Ax%2B1%29%2F%28x%5E2-4%2Ax%2B4%29, %28x%5E3-x%29%2Fx=0, %28x-1%29%2Fx=0, %282x%5E4-2%29%2F%28x-1%29=0, x%5E5-x%5E3=0, %28x-3%29%2A%28x%5E6-2x%5E3%2B1%29=0, , x%2A%28x-1%29%28x%2B1%29%2A%28x%5E3%2Bx%29, %28x-1%29%28x%2B1%29-3=0, %28x%5E2-1%29%28x%5E2%2B1%29-15=0, 1%2Fx%5E-1, x%2Fa%5E%28-5%29, x%2Aa%5E%28-5%29, x%5E-1, 2%2F6, 1%2F2-2%2F3, 1%2F2-1, 1%2F2-1%2B1%2F10, 1%2F2%2B2%2F3, 1%2F3%2B0.51, 1%2F3%2B0.5, x-x%2F3, 0.5x-x%2F3, 0.5x-2%2Ax%2F3, 1%2F2%2B1%2F3%2B1%2F6, %282x%2B2y%29%2F2, %28%28-4%2B10%29-%28-2%2B14%29%29%2F2%2A%282%29.
Please write to Igor Chudov, ichudov @ algebra.com, with questions or suggestions.

Algebra.Com's Home Page.

This simplifier has been used 37277774 times.