SOLUTION: Can you please help me answer this equaton? Combine:(3x^3-4x^2)+(-7-3x^3)-(-4x^2+2x)

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Question 6690: Can you please help me answer this equaton?
Combine:(3x^3-4x^2)+(-7-3x^3)-(-4x^2+2x)
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: %283x%5E3-4x%5E2%29%2B%28-7-3x%5E3%29-%28-4x%5E2%2B2x%29 simplifies to -2%2Ax-7
  • Text form: (3x^3-4x^2)+(-7-3x^3)-(-4x^2+2x) simplifies to -2*x-7
  • Cartoon (animation) form: simplify_cartoon%28+%283x%5E3-4x%5E2%29%2B%28-7-3x%5E3%29-%28-4x%5E2%2B2x%29+%29
    For tutors: simplify_cartoon( (3x^3-4x^2)+(-7-3x^3)-(-4x^2+2x) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%283%2Ax%5E3-4%2Ax%5E2%29+%29%2B%28-7-3%2Ax%5E3%29-%28-4%2Ax%5E2%2B2%2Ax%29.
Remove unneeded parentheses around terms highlight_red%28+3%2Ax%5E3+%29,highlight_red%28+-4%2Ax%5E2+%29
It becomes .
Look at 3%2Ax%5E3-4%2Ax%5E2%2Bhighlight_red%28+%28-7-3%2Ax%5E3%29+%29-%28-4%2Ax%5E2%2B2%2Ax%29.
Remove unneeded parentheses around terms highlight_red%28+-7+%29,highlight_red%28+-3%2Ax%5E3+%29
It becomes .
Look at 3%2Ax%5E3-4%2Ax%5E2-7-3%2Ax%5E3-highlight_red%28+%28-4%2Ax%5E2%2B2%2Ax%29+%29.
Remove unneeded parentheses around terms highlight_red%28+4%2Ax%5E2+%29,highlight_red%28+-2%2Ax+%29
It becomes .
Look at 3%2Ax%5E3-4%2Ax%5E2-highlight_red%28+7+%29-3%2Ax%5E3%2B4%2Ax%5E2-2%2Ax.
Moved -7 to the right of expression
It becomes 3%2Ax%5E3-4%2Ax%5E2-3%2Ax%5E3%2B4%2Ax%5E2-2%2Ax-highlight_green%28+7+%29.
Look at highlight_red%28+3%2Ax%5E3+%29-4%2Ax%5E2-highlight_red%28+3%2Ax%5E3+%29%2B4%2Ax%5E2-2%2Ax-7.
Eliminated similar terms highlight_red%28+3%2Ax%5E3+%29,highlight_red%28+-3%2Ax%5E3+%29 replacing them with highlight_green%28+%283-3%29%2Ax%5E3+%29
It becomes highlight_green%28+%283-3%29%2Ax%5E3+%29-4%2Ax%5E2%2B4%2Ax%5E2-2%2Ax-7.
Look at %283-3%29%2Ax%5E3-highlight_red%28+4%2Ax%5E2+%29%2Bhighlight_red%28+4%2Ax%5E2+%29-2%2Ax-7.
Eliminated similar terms highlight_red%28+-4%2Ax%5E2+%29,highlight_red%28+4%2Ax%5E2+%29 replacing them with highlight_green%28+%28-4%2B4%29%2Ax%5E2+%29
It becomes %283-3%29%2Ax%5E3%2Bhighlight_green%28+%28-4%2B4%29%2Ax%5E2+%29-2%2Ax-7.
Look at highlight_red%28+%283-3%29%2Ax%5E3+%29%2B%28-4%2B4%29%2Ax%5E2-2%2Ax-7.
Since highlight_red%28+%283-3%29%2Ax%5E3+%29 has zero as a factor, it should be replaced with a zero
Look at 0%2B%28-4%2B4%29%2Ax%5E2-2%2Ax-7.
Added fractions or integers together
It becomes 0%2B%28-4%2B4%29%2Ax%5E2-2%2Ax-7.
Look at 0%2Bhighlight_red%28+%28-4%2B4%29%2Ax%5E2+%29-2%2Ax-7.
Since highlight_red%28+%28-4%2B4%29%2Ax%5E2+%29 has zero as a factor, it should be replaced with a zero
Look at 0%2B0-2%2Ax-7.
Added fractions or integers together
It becomes 0%2B0-2%2Ax-7.
Look at highlight_red%28+0+%29%2B0-2%2Ax-7.
Remove extraneous zero highlight_red%28+0+%29
It becomes 0-2%2Ax-7.
Look at highlight_red%28+0+%29-2%2Ax-7.
Remove extraneous zero highlight_red%28+0+%29
It becomes -2%2Ax-7.
Result: -2%2Ax-7

Universal Simplifier and Solver


Done!