document.write( "Question 39210: I tried to complete but I got stuck
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\n" ); document.write( "Probelm: (t^2-6t+7) - (5t^3-3t-2)
\n" ); document.write( "Soloution: t^2-6t+7-5t^2+3t+2
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Algebra.Com's Answer #24640 by hellyeah(21)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: SOLVE any equation
Your Result:

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  • Graphical form: \"%28t%5E2-6t%2B7%29-%285t%5E3-3t-2%29\" simplifies to \"t%5E2-3%2At-5%2At%5E3%2B9\"
  • Text form: (t^2-6t+7)-(5t^3-3t-2) simplifies to t^2-3*t-5*t^3+9
  • Cartoon (animation) form: \"simplify_cartoon%28+%28t%5E2-6t%2B7%29-%285t%5E3-3t-2%29+%29\"
    For tutors: simplify_cartoon( (t^2-6t+7)-(5t^3-3t-2) )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+%28t%5E2-6%2At%2B7%29+%29-%285%2At%5E3-3%2At-2%29\".
Remove unneeded parentheses around terms \"highlight_red%28+t%5E2+%29\",\"highlight_red%28+-6%2At+%29\",\"highlight_red%28+7+%29\"
It becomes .
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Look at \"t%5E2-6%2At%2B7-highlight_red%28+%285%2At%5E3-3%2At-2%29+%29\".
Remove unneeded parentheses around terms \"highlight_red%28+-5%2At%5E3+%29\",\"highlight_red%28+3%2At+%29\",\"highlight_red%28+2+%29\"
It becomes .
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Look at \"t%5E2-6%2At%2Bhighlight_red%28+7+%29-5%2At%5E3%2B3%2At%2Bhighlight_red%28+2+%29\".
Added fractions or integers together
It becomes \"t%5E2-6%2At%2Bhighlight_green%28+9+%29-5%2At%5E3%2B3%2At\".
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Look at \"t%5E2-6%2At%2Bhighlight_red%28+9+%29-5%2At%5E3%2B3%2At\".
Moved \"9\" to the right of expression
It becomes \"t%5E2-6%2At-5%2At%5E3%2B3%2At%2Bhighlight_green%28+9+%29\".
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Look at \"t%5E2-highlight_red%28+6%2At+%29-5%2At%5E3%2Bhighlight_red%28+3%2At+%29%2B9\".
Eliminated similar terms \"highlight_red%28+-6%2At+%29\",\"highlight_red%28+3%2At+%29\" replacing them with \"highlight_green%28+%28-6%2B3%29%2At+%29\"
It becomes \"t%5E2%2Bhighlight_green%28+%28-6%2B3%29%2At+%29-5%2At%5E3%2B9\".
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Look at \"t%5E2%2B%28-highlight_red%28+6+%29%2Bhighlight_red%28+3+%29%29%2At-5%2At%5E3%2B9\".
Added fractions or integers together
It becomes \"t%5E2%2B%28highlight_green%28+-3+%29%29%2At-5%2At%5E3%2B9\".
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Look at \"t%5E2%2B%28highlight_red%28+-3+%29%29%2At-5%2At%5E3%2B9\".
Removed extra sign in front of \"-3\"
It becomes \"t%5E2%2B%28-highlight_green%28+3+%29%29%2At-5%2At%5E3%2B9\".
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Look at \"t%5E2%2Bhighlight_red%28+%28-highlight_red%28+3+%29%29%2At+%29-5%2At%5E3%2B9\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"t%5E2-highlight_green%28+3+%29%2At-5%2At%5E3%2B9\".
Result: \"t%5E2-3%2At-5%2At%5E3%2B9\"
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Universal Simplifier and Solver

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Done!
t^2-3*t-5*t^3+9
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