SOLUTION: -2x^2-5x/x^2-7x + x-2/x+7 + 2x-3/x

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Question 30780: -2x^2-5x/x^2-7x + x-2/x+7 + 2x-3/x
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: -2x%5E2-5x%2Fx%5E2-7x%2Bx-2%2Fx%2B7%2B2x-3%2Fx simplifies to -2%2Ax%5E2-10%2Fx-4%2Ax%2B7
  • Text form: -2x^2-5x/x^2-7x+x-2/x+7+2x-3/x simplifies to -2*x^2-10/x-4*x+7
  • Cartoon (animation) form: simplify_cartoon%28+-2x%5E2-5x%2Fx%5E2-7x%2Bx-2%2Fx%2B7%2B2x-3%2Fx+%29
    For tutors: simplify_cartoon( -2x^2-5x/x^2-7x+x-2/x+7+2x-3/x )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Reduce similar several occurrences of highlight_red%28+x+%29 to highlight_green%28+x%5E%281-2%29+%29
It becomes -2%2Ax%5E2-5%2Ahighlight_green%28+x%5E%281-2%29+%29-7%2Ax%2Bx-2%2Fx%2B7%2B2%2Ax-3%2Fx.
Look at -2%2Ax%5E2-5%2Ax%5E%281-2%29-7%2Ax%2Bx-2%2Fx%2Bhighlight_red%28+7+%29%2B2%2Ax-3%2Fx.
Moved 7 to the right of expression
It becomes -2%2Ax%5E2-5%2Ax%5E%281-2%29-7%2Ax%2Bx-2%2Fx%2B2%2Ax-3%2Fx%2Bhighlight_green%28+7+%29.
Look at .
Added fractions or integers together
It becomes -2%2Ax%5E2-5%2Ax%5E%28highlight_green%28+-1+%29%29-7%2Ax%2Bx-2%2Fx%2B2%2Ax-3%2Fx%2B7.
Look at -2%2Ax%5E2-5%2Ax%5E%28highlight_red%28+-1+%29%29-7%2Ax%2Bx-2%2Fx%2B2%2Ax-3%2Fx%2B7.
Removed extra sign in front of -1
It becomes -2%2Ax%5E2-5%2Ax%5E%28-highlight_green%28+1+%29%29-7%2Ax%2Bx-2%2Fx%2B2%2Ax-3%2Fx%2B7.
Look at .
Eliminated similar terms highlight_red%28+-7%2Ax+%29,highlight_red%28+x+%29,highlight_red%28+2%2Ax+%29 replacing them with highlight_green%28+%28-7%2B1%2B2%29%2Ax+%29
It becomes -2%2Ax%5E2-5%2Ax%5E%28-1%29%2Bhighlight_green%28+%28-7%2B1%2B2%29%2Ax+%29-2%2Fx-3%2Fx%2B7.
Look at .
Eliminated similar terms highlight_red%28+-2%2Fx+%29,highlight_red%28+-3%2Fx+%29 replacing them with highlight_green%28+%28-2-3%29%2Fx+%29
It becomes .
Look at .
Added fractions or integers together
It becomes -2%2Ax%5E2-5%2Ax%5E%28-1%29%2B%28highlight_green%28+-4+%29%29%2Ax%2B%28-2-3%29%2Fx%2B7.
Look at .
Added fractions or integers together
It becomes -2%2Ax%5E2-5%2Ax%5E%28-1%29%2B%28-4%29%2Ax%2B%28highlight_green%28+-5+%29%29%2Fx%2B7.
Look at -2%2Ax%5E2-5%2Ax%5E%28-1%29%2B%28highlight_red%28+-4+%29%29%2Ax%2B%28-5%29%2Fx%2B7.
Removed extra sign in front of -4
It becomes -2%2Ax%5E2-5%2Ax%5E%28-1%29%2B%28-highlight_green%28+4+%29%29%2Ax%2B%28-5%29%2Fx%2B7.
Look at -2%2Ax%5E2-5%2Ax%5E%28-1%29%2B%28-4%29%2Ax%2B%28highlight_red%28+-5+%29%29%2Fx%2B7.
Removed extra sign in front of -5
It becomes -2%2Ax%5E2-5%2Ax%5E%28-1%29%2B%28-4%29%2Ax%2B%28-highlight_green%28+5+%29%29%2Fx%2B7.
Look at .
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes -2%2Ax%5E2-5%2Ax%5E%28-1%29-highlight_green%28+4+%29%2Ax%2B%28-5%29%2Fx%2B7.
Look at .
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes -2%2Ax%5E2-5%2Ax%5E%28-1%29-4%2Ax-highlight_green%28+5+%29%2Fx%2B7.
Look at -2%2Ax%5E2-5%2Ahighlight_red%28+x%5E%28-1%29+%29-4%2Ax-5%2Fx%2B7.
Negative power changes multiplication to division
It becomes -2%2Ax%5E2-5%2Fhighlight_green%28+x%5E1+%29-4%2Ax-5%2Fx%2B7.
Look at -2%2Ax%5E2-5%2Fx%5Ehighlight_red%28+1+%29-4%2Ax-5%2Fx%2B7.
Removing power of one highlight_red%28+1+%29
Look at -2%2Ax%5E2-highlight_red%28+5%2Fx+%29-4%2Ax-highlight_red%28+5%2Fx+%29%2B7.
Eliminated similar terms highlight_red%28+-5%2Fx+%29,highlight_red%28+-5%2Fx+%29 replacing them with highlight_green%28+%28-5-5%29%2Fx+%29
It becomes -2%2Ax%5E2%2Bhighlight_green%28+%28-5-5%29%2Fx+%29-4%2Ax%2B7.
Look at -2%2Ax%5E2%2B%28-highlight_red%28+5+%29-highlight_red%28+5+%29%29%2Fx-4%2Ax%2B7.
Added fractions or integers together
It becomes -2%2Ax%5E2%2B%28highlight_green%28+-10+%29%29%2Fx-4%2Ax%2B7.
Look at -2%2Ax%5E2%2B%28highlight_red%28+-10+%29%29%2Fx-4%2Ax%2B7.
Removed extra sign in front of -10
It becomes -2%2Ax%5E2%2B%28-highlight_green%28+10+%29%29%2Fx-4%2Ax%2B7.
Look at -2%2Ax%5E2%2Bhighlight_red%28+%28-highlight_red%28+10+%29%29%2Fx+%29-4%2Ax%2B7.
Remove unneeded parentheses around factor highlight_red%28+10+%29
It becomes -2%2Ax%5E2-highlight_green%28+10+%29%2Fx-4%2Ax%2B7.
Result: -2%2Ax%5E2-10%2Fx-4%2Ax%2B7

Universal Simplifier and Solver


Done!