document.write( "Question 35293: I NEED HELP WITH:
\n" ); document.write( "(x^2 - 3x + 5)+(x^2 + 2x - 3) \n" ); document.write( "

Algebra.Com's Answer #21487 by lyra(94) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can only combine like terms, so:
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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Graphical form: $\"%28x%5E2-3x%2B5%29%2B%28x%5E2%2B2x-3%29\"$ simplifies to $\"2%2Ax%5E2-x%2B2\"$
Text form: (x^2-3x+5)+(x^2+2x-3) simplifies to 2*x^2-x+2
Cartoon (animation) form: $\"simplify_cartoon%28+%28x%5E2-3x%2B5%29%2B%28x%5E2%2B2x-3%29+%29\"$
For tutors: simplify_cartoon( (x^2-3x+5)+(x^2+2x-3) )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"highlight_red%28+%28x%5E2-3%2Ax%2B5%29+%29%2B%28x%5E2%2B2%2Ax-3%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+x%5E2+%29\"$ , $\"highlight_red%28+-3%2Ax+%29\"$ , $\"highlight_red%28+5+%29\"$
It becomes

.
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Look at $\"x%5E2-3%2Ax%2B5%2Bhighlight_red%28+%28x%5E2%2B2%2Ax-3%29+%29\"$ .
Remove unneeded parentheses around terms $\"highlight_red%28+x%5E2+%29\"$ , $\"highlight_red%28+2%2Ax+%29\"$ , $\"highlight_red%28+-3+%29\"$
It becomes

.
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Look at $\"x%5E2-3%2Ax%2Bhighlight_red%28+5+%29%2Bx%5E2%2B2%2Ax-highlight_red%28+3+%29\"$ .
Added fractions or integers together
It becomes $\"x%5E2-3%2Ax%2Bhighlight_green%28+2+%29%2Bx%5E2%2B2%2Ax\"$ .
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Look at $\"x%5E2-3%2Ax%2Bhighlight_red%28+2+%29%2Bx%5E2%2B2%2Ax\"$ .
Moved $\"2\"$ to the right of expression
It becomes $\"x%5E2-3%2Ax%2Bx%5E2%2B2%2Ax%2Bhighlight_green%28+2+%29\"$ .
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Look at $\"highlight_red%28+x%5E2+%29-3%2Ax%2Bhighlight_red%28+x%5E2+%29%2B2%2Ax%2B2\"$ .
Eliminated similar terms $\"highlight_red%28+x%5E2+%29\"$ , $\"highlight_red%28+x%5E2+%29\"$ replacing them with $\"highlight_green%28+%281%2B1%29%2Ax%5E2+%29\"$
It becomes $\"highlight_green%28+%281%2B1%29%2Ax%5E2+%29-3%2Ax%2B2%2Ax%2B2\"$ .
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Look at $\"%281%2B1%29%2Ax%5E2-highlight_red%28+3%2Ax+%29%2Bhighlight_red%28+2%2Ax+%29%2B2\"$ .
Eliminated similar terms $\"highlight_red%28+-3%2Ax+%29\"$ , $\"highlight_red%28+2%2Ax+%29\"$ replacing them with $\"highlight_green%28+%28-3%2B2%29%2Ax+%29\"$
It becomes $\"%281%2B1%29%2Ax%5E2%2Bhighlight_green%28+%28-3%2B2%29%2Ax+%29%2B2\"$ .
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Look at $\"%28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29%29%2Ax%5E2%2B%28-3%2B2%29%2Ax%2B2\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+2+%29%29%2Ax%5E2%2B%28-3%2B2%29%2Ax%2B2\"$ .
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Look at $\"%282%29%2Ax%5E2%2B%28-highlight_red%28+3+%29%2Bhighlight_red%28+2+%29%29%2Ax%2B2\"$ .
Added fractions or integers together
It becomes $\"%282%29%2Ax%5E2%2B%28highlight_green%28+-1+%29%29%2Ax%2B2\"$ .
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Look at $\"%282%29%2Ax%5E2%2B%28highlight_red%28+-1+%29%29%2Ax%2B2\"$ .
Removed extra sign in front of $\"-1\"$
It becomes $\"%282%29%2Ax%5E2%2B%28-highlight_green%28+1+%29%29%2Ax%2B2\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+2+%29%29%2Ax%5E2+%29%2B%28-1%29%2Ax%2B2\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"highlight_green%28+2+%29%2Ax%5E2%2B%28-1%29%2Ax%2B2\"$ .
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Look at $\"2%2Ax%5E2%2Bhighlight_red%28+%28-highlight_red%28+1+%29%29%2Ax+%29%2B2\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+1+%29\"$
It becomes $\"2%2Ax%5E2-highlight_green%28+1+%29%2Ax%2B2\"$ .
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Look at $\"2%2Ax%5E2-highlight_red%28+1+%29%2Ax%2B2\"$ .
Remove extraneous '1' from product $\"highlight_red%28+1+%29\"$
It becomes $\"2%2Ax%5E2-x%2B2\"$ .
Result: $\"2%2Ax%5E2-x%2B2\"$
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Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "Hope this helps,
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