document.write( "Question 308381: The sum of $\"3r%5E4-7r%5E2%2Br-9\"$ and $\"r%5E4%2B5r%5E3-2r%5E2%2B1\"$ is? \n" ); document.write( "

Algebra.Com's Answer #220477 by ichudov(507) $\"\"$ $\"About$

You can put this solution on YOUR website!
Always use my universal and simplifier and solver for this stuff.
\n" ); document.write( "\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

\n" ); document.write( "
\n" ); document.write( "

\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

\n" ); document.write( "\n" ); document.write( "

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.

\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "

Look at

.
Added fractions or integers together
It becomes $\"3%2Ar%5E4-7%2Ar%5E2%2Br%2Bhighlight_green%28+-8+%29%2Br%5E4%2B5%2Ar%5E3-2%2Ar%5E2\"$ .
\n" ); document.write( "

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 $\"3%2Ar%5E4-7%2Ar%5E2%2Br%2Br%5E4%2B5%2Ar%5E3-2%2Ar%5E2%2Bhighlight_green%28+-8+%29\"$ .
\n" ); document.write( "

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 $\"3%2Ar%5E4-7%2Ar%5E2%2Br%2Br%5E4%2B5%2Ar%5E3-2%2Ar%5E2-highlight_green%28+8+%29\"$ .
\n" ); document.write( "

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 $\"highlight_green%28+%283%2B1%29%2Ar%5E4+%29-7%2Ar%5E2%2Br%2B5%2Ar%5E3-2%2Ar%5E2-8\"$ .
\n" ); document.write( "

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 $\"%283%2B1%29%2Ar%5E4%2Bhighlight_green%28+%28-7-2%29%2Ar%5E2+%29%2Br%2B5%2Ar%5E3-8\"$ .
\n" ); document.write( "

Look at

.
Added fractions or integers together
It becomes $\"%28highlight_green%28+4+%29%29%2Ar%5E4%2B%28-7-2%29%2Ar%5E2%2Br%2B5%2Ar%5E3-8\"$ .
\n" ); document.write( "

Look at

.
Added fractions or integers together
It becomes $\"%284%29%2Ar%5E4%2B%28highlight_green%28+-9+%29%29%2Ar%5E2%2Br%2B5%2Ar%5E3-8\"$ .
\n" ); document.write( "

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 $\"%284%29%2Ar%5E4%2B%28-highlight_green%28+9+%29%29%2Ar%5E2%2Br%2B5%2Ar%5E3-8\"$ .
\n" ); document.write( "

Look at

.
Remove unneeded parentheses around factor $\"highlight_red%28+4+%29\"$
It becomes $\"highlight_green%28+4+%29%2Ar%5E4%2B%28-9%29%2Ar%5E2%2Br%2B5%2Ar%5E3-8\"$ .
\n" ); document.write( "

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: $\"4%2Ar%5E4-9%2Ar%5E2%2Br%2B5%2Ar%5E3-8\"$
\n" ); document.write( "

Universal Simplifier and Solver

\n" ); document.write( "
Done!

\n" ); document.write( " \n" ); document.write( "

\n" );