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: %28x-6%29%2A%289%2Ax4%29%2A%289%2Ax-4%29 simplifies to 81%2Ax4%2Ax%5E2-522%2Ax4%2Ax%2B216%2Ax4
  • Text form: (x-6)*(9*x4)*(9*x-4) simplifies to 81*x4*x^2-522*x4*x+216*x4
  • Cartoon (animation) form: simplify_cartoon%28+%28x-6%29%2A%289%2Ax4%29%2A%289%2Ax-4%29+%29
    For tutors: simplify_cartoon( (x-6)*(9*x4)*(9*x-4) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%28x-6%29%2A%28highlight_red%28+9%2Ax4+%29%29%2A%289%2Ax-4%29+%29.
Remove unneeded parentheses around factor highlight_red%28+9+%29,highlight_red%28+x4+%29
It becomes %28x-6%29%2Ahighlight_green%28+9+%29%2Ahighlight_green%28+x4+%29%2A%289%2Ax-4%29.
Look at highlight_red%28+%28x-6%29%2A9%2Ax4%2A%289%2Ax-4%29+%29.
Expanded term 9%2Ax4%2A%289%2Ax-4%29 by using associative property on %28x-6%29
It becomes .
Look at .
Multiplied numerator integers
It becomes 9%2Ax4%2A%289%2Ax-4%29%2Ax-highlight_green%28+54+%29%2Ax4%2A%289%2Ax-4%29.
Look at highlight_red%28+9%2Ax4%2A%289%2Ax-4%29%2Ax+%29-54%2Ax4%2A%289%2Ax-4%29.
Expanded term 9%2Ax4%2Ax by using associative property on %289%2Ax-4%29
It becomes .
Look at .
Multiplied numerator integers
It becomes highlight_green%28+81+%29%2Ax4%2Ax%2Ax-9%2Ax4%2Ax%2A4-54%2Ax4%2A%289%2Ax-4%29.
Look at .
Multiplied numerator integers
It becomes 81%2Ax4%2Ax%2Ax-highlight_green%28+36+%29%2Ax4%2Ax-54%2Ax4%2A%289%2Ax-4%29.
Look at .
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E2+%29
It becomes 81%2Ax4%2Ahighlight_green%28+x%5E2+%29-36%2Ax4%2Ax-54%2Ax4%2A%289%2Ax-4%29.
Look at 81%2Ax4%2Ax%5E2-36%2Ax4%2Ax-highlight_red%28+54%2Ax4%2A%289%2Ax-4%29+%29.
Expanded term -54%2Ax4 by using associative property on %289%2Ax-4%29
It becomes .
Look at .
Multiplied numerator integers
It becomes 81%2Ax4%2Ax%5E2-36%2Ax4%2Ax-highlight_green%28+486+%29%2Ax4%2Ax%2B54%2Ax4%2A4.
Look at .
Multiplied numerator integers
It becomes 81%2Ax4%2Ax%5E2-36%2Ax4%2Ax-486%2Ax4%2Ax%2Bhighlight_green%28+216+%29%2Ax4.
Look at .
Eliminated similar terms highlight_red%28+-36%2Ax4%2Ax+%29,highlight_red%28+-486%2Ax4%2Ax+%29 replacing them with highlight_green%28+%28-36-486%29%2Ax4%2Ax+%29
It becomes 81%2Ax4%2Ax%5E2%2Bhighlight_green%28+%28-36-486%29%2Ax4%2Ax+%29%2B216%2Ax4.
Look at .
Added fractions or integers together
It becomes 81%2Ax4%2Ax%5E2%2B%28highlight_green%28+-522+%29%29%2Ax4%2Ax%2B216%2Ax4.
Look at 81%2Ax4%2Ax%5E2%2B%28highlight_red%28+-522+%29%29%2Ax4%2Ax%2B216%2Ax4.
Removed extra sign in front of -522
It becomes 81%2Ax4%2Ax%5E2%2B%28-highlight_green%28+522+%29%29%2Ax4%2Ax%2B216%2Ax4.
Look at 81%2Ax4%2Ax%5E2%2Bhighlight_red%28+%28-highlight_red%28+522+%29%29%2Ax4%2Ax+%29%2B216%2Ax4.
Remove unneeded parentheses around factor highlight_red%28+522+%29
It becomes 81%2Ax4%2Ax%5E2-highlight_green%28+522+%29%2Ax4%2Ax%2B216%2Ax4.
Result: 81%2Ax4%2Ax%5E2-522%2Ax4%2Ax%2B216%2Ax4

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 37277338 times.