SOLUTION: The sum of {{{3r^4-7r^2+r-9}}} and {{{r^4+5r^3-2r^2+1}}} is?

Algebra ->  Sequences-and-series -> SOLUTION: The sum of {{{3r^4-7r^2+r-9}}} and {{{r^4+5r^3-2r^2+1}}} is?      Log On


   

Question 308381: The sum of 3r%5E4-7r%5E2%2Br-9 and r%5E4%2B5r%5E3-2r%5E2%2B1 is?
Answer by ichudov(507) About Me  (Show Source):
You can put this solution on YOUR website!
Always use my universal and simplifier and solver for this stuff.
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • Graphical form: 3r%5E4-7r%5E2%2Br-9%2Br%5E4%2B5r%5E3-2r%5E2%2B1 simplifies to 4%2Ar%5E4-9%2Ar%5E2%2Br%2B5%2Ar%5E3-8
  • Text form: 3r^4-7r^2+r-9+r^4+5r^3-2r^2+1 simplifies to 4*r^4-9*r^2+r+5*r^3-8
  • Cartoon (animation) form: simplify_cartoon%28+3r%5E4-7r%5E2%2Br-9%2Br%5E4%2B5r%5E3-2r%5E2%2B1+%29
    For tutors: simplify_cartoon( 3r^4-7r^2+r-9+r^4+5r^3-2r^2+1 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Added fractions or integers together
It becomes 3%2Ar%5E4-7%2Ar%5E2%2Br%2Bhighlight_green%28+-8+%29%2Br%5E4%2B5%2Ar%5E3-2%2Ar%5E2.
Look at 3%2Ar%5E4-7%2Ar%5E2%2Br%2Bhighlight_red%28+-8+%29%2Br%5E4%2B5%2Ar%5E3-2%2Ar%5E2.
Moved -8 to the right of expression
It becomes 3%2Ar%5E4-7%2Ar%5E2%2Br%2Br%5E4%2B5%2Ar%5E3-2%2Ar%5E2%2Bhighlight_green%28+-8+%29.
Look at 3%2Ar%5E4-7%2Ar%5E2%2Br%2Br%5E4%2B5%2Ar%5E3-2%2Ar%5E2%2Bhighlight_red%28+-8+%29.
Removed extra sign in front of -8
It becomes 3%2Ar%5E4-7%2Ar%5E2%2Br%2Br%5E4%2B5%2Ar%5E3-2%2Ar%5E2-highlight_green%28+8+%29.
Look at .
Eliminated similar terms highlight_red%28+3%2Ar%5E4+%29,highlight_red%28+r%5E4+%29 replacing them with highlight_green%28+%283%2B1%29%2Ar%5E4+%29
It becomes highlight_green%28+%283%2B1%29%2Ar%5E4+%29-7%2Ar%5E2%2Br%2B5%2Ar%5E3-2%2Ar%5E2-8.
Look at .
Eliminated similar terms highlight_red%28+-7%2Ar%5E2+%29,highlight_red%28+-2%2Ar%5E2+%29 replacing them with highlight_green%28+%28-7-2%29%2Ar%5E2+%29
It becomes %283%2B1%29%2Ar%5E4%2Bhighlight_green%28+%28-7-2%29%2Ar%5E2+%29%2Br%2B5%2Ar%5E3-8.
Look at .
Added fractions or integers together
It becomes %28highlight_green%28+4+%29%29%2Ar%5E4%2B%28-7-2%29%2Ar%5E2%2Br%2B5%2Ar%5E3-8.
Look at .
Added fractions or integers together
It becomes %284%29%2Ar%5E4%2B%28highlight_green%28+-9+%29%29%2Ar%5E2%2Br%2B5%2Ar%5E3-8.
Look at %284%29%2Ar%5E4%2B%28highlight_red%28+-9+%29%29%2Ar%5E2%2Br%2B5%2Ar%5E3-8.
Removed extra sign in front of -9
It becomes %284%29%2Ar%5E4%2B%28-highlight_green%28+9+%29%29%2Ar%5E2%2Br%2B5%2Ar%5E3-8.
Look at .
Remove unneeded parentheses around factor highlight_red%28+4+%29
It becomes highlight_green%28+4+%29%2Ar%5E4%2B%28-9%29%2Ar%5E2%2Br%2B5%2Ar%5E3-8.
Look at 4%2Ar%5E4%2Bhighlight_red%28+%28-highlight_red%28+9+%29%29%2Ar%5E2+%29%2Br%2B5%2Ar%5E3-8.
Remove unneeded parentheses around factor highlight_red%28+9+%29
It becomes 4%2Ar%5E4-highlight_green%28+9+%29%2Ar%5E2%2Br%2B5%2Ar%5E3-8.
Result: 4%2Ar%5E4-9%2Ar%5E2%2Br%2B5%2Ar%5E3-8

Universal Simplifier and Solver


Done!