SOLUTION: Subtract. (4n^6 – 7n^5 + 5) – (9n^6 – n^5 + 8)

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Question 367729: Subtract.
(4n^6 – 7n^5 + 5) – (9n^6 – n^5 + 8)
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: %284n%5E6-7n%5E5%2B5%29-%289n%5E6-n%5E5%2B8%29 simplifies to -5%2An%5E6-6%2An%5E5-3
  • Text form: (4n^6-7n^5+5)-(9n^6-n^5+8) simplifies to -5*n^6-6*n^5-3
  • Cartoon (animation) form: simplify_cartoon%28+%284n%5E6-7n%5E5%2B5%29-%289n%5E6-n%5E5%2B8%29+%29
    For tutors: simplify_cartoon( (4n^6-7n^5+5)-(9n^6-n^5+8) )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at highlight_red%28+%284%2An%5E6-7%2An%5E5%2B5%29+%29-%289%2An%5E6-n%5E5%2B8%29.
Remove unneeded parentheses around terms highlight_red%28+4%2An%5E6+%29,highlight_red%28+-7%2An%5E5+%29,highlight_red%28+5+%29
It becomes .
Look at 4%2An%5E6-7%2An%5E5%2B5-highlight_red%28+%289%2An%5E6-n%5E5%2B8%29+%29.
Remove unneeded parentheses around terms highlight_red%28+-9%2An%5E6+%29,highlight_red%28+n%5E5+%29,highlight_red%28+-8+%29
It becomes .
Look at 4%2An%5E6-7%2An%5E5%2Bhighlight_red%28+5+%29-9%2An%5E6%2Bn%5E5-highlight_red%28+8+%29.
Added fractions or integers together
It becomes 4%2An%5E6-7%2An%5E5%2Bhighlight_green%28+-3+%29-9%2An%5E6%2Bn%5E5.
Look at 4%2An%5E6-7%2An%5E5%2Bhighlight_red%28+-3+%29-9%2An%5E6%2Bn%5E5.
Moved -3 to the right of expression
It becomes 4%2An%5E6-7%2An%5E5-9%2An%5E6%2Bn%5E5%2Bhighlight_green%28+-3+%29.
Look at 4%2An%5E6-7%2An%5E5-9%2An%5E6%2Bn%5E5%2Bhighlight_red%28+-3+%29.
Removed extra sign in front of -3
It becomes 4%2An%5E6-7%2An%5E5-9%2An%5E6%2Bn%5E5-highlight_green%28+3+%29.
Look at highlight_red%28+4%2An%5E6+%29-7%2An%5E5-highlight_red%28+9%2An%5E6+%29%2Bn%5E5-3.
Eliminated similar terms highlight_red%28+4%2An%5E6+%29,highlight_red%28+-9%2An%5E6+%29 replacing them with highlight_green%28+%284-9%29%2An%5E6+%29
It becomes highlight_green%28+%284-9%29%2An%5E6+%29-7%2An%5E5%2Bn%5E5-3.
Look at %284-9%29%2An%5E6-highlight_red%28+7%2An%5E5+%29%2Bhighlight_red%28+n%5E5+%29-3.
Eliminated similar terms highlight_red%28+-7%2An%5E5+%29,highlight_red%28+n%5E5+%29 replacing them with highlight_green%28+%28-7%2B1%29%2An%5E5+%29
It becomes %284-9%29%2An%5E6%2Bhighlight_green%28+%28-7%2B1%29%2An%5E5+%29-3.
Look at %28highlight_red%28+4+%29-highlight_red%28+9+%29%29%2An%5E6%2B%28-7%2B1%29%2An%5E5-3.
Added fractions or integers together
It becomes %28highlight_green%28+-5+%29%29%2An%5E6%2B%28-7%2B1%29%2An%5E5-3.
Look at %28-5%29%2An%5E6%2B%28-highlight_red%28+7+%29%2Bhighlight_red%28+1+%29%29%2An%5E5-3.
Added fractions or integers together
It becomes %28-5%29%2An%5E6%2B%28highlight_green%28+-6+%29%29%2An%5E5-3.
Look at %28highlight_red%28+-5+%29%29%2An%5E6%2B%28-6%29%2An%5E5-3.
Removed extra sign in front of -5
It becomes %28-highlight_green%28+5+%29%29%2An%5E6%2B%28-6%29%2An%5E5-3.
Look at %28-5%29%2An%5E6%2B%28highlight_red%28+-6+%29%29%2An%5E5-3.
Removed extra sign in front of -6
It becomes %28-5%29%2An%5E6%2B%28-highlight_green%28+6+%29%29%2An%5E5-3.
Look at highlight_red%28+%28-highlight_red%28+5+%29%29%2An%5E6+%29%2B%28-6%29%2An%5E5-3.
Remove unneeded parentheses around factor highlight_red%28+5+%29
It becomes -highlight_green%28+5+%29%2An%5E6%2B%28-6%29%2An%5E5-3.
Look at -5%2An%5E6%2Bhighlight_red%28+%28-highlight_red%28+6+%29%29%2An%5E5+%29-3.
Remove unneeded parentheses around factor highlight_red%28+6+%29
It becomes -5%2An%5E6-highlight_green%28+6+%29%2An%5E5-3.
Result: -5%2An%5E6-6%2An%5E5-3

Universal Simplifier and Solver


Done!