document.write( "Question 305056: Expand (4-3sqrt2)^2
\n" ); document.write( "(4-3sqrt2)(4-3sqrt2)
\n" ); document.write( "By FOIL we have:
\n" ); document.write( "(4-3sqrt(2))*(4-3sqrt(2)) =
\n" ); document.write( "4*4 - 12*sqrt(2) - 12*sqrt(2) + 3sqrt(2)*3sqrt(2) =
\n" ); document.write( "16 - 24*sqrt(2) + 18 =
\n" ); document.write( "34 - 24*sqrt(2)
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Algebra.Com's Answer #537721 by Rustleford(1)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: x=2.
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  • Graphical form: Equation \"x%2Bx-x%2B2x=6\" was fully solved.
  • Text form: x+x-x+2x=6 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%2Bx-x%2B2x=6+%29\"
    For tutors: simplify_cartoon( x+x-x+2x=6 )
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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 .
Eliminated similar terms \"highlight_red%28+x+%29\",\"highlight_red%28+x+%29\",\"highlight_red%28+-x+%29\",\"highlight_red%28+2%2Ax+%29\" replacing them with \"highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29=6\".
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Look at .
Added fractions or integers together
It becomes \"%28highlight_green%28+3+%29%29%2Ax=6\".
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Look at \"highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29=6\".
Remove unneeded parentheses around factor \"highlight_red%28+3+%29\"
It becomes \"highlight_green%28+3+%29%2Ax=6\".
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Look at \"3%2Ax=highlight_red%28+6+%29\".
Moved these terms to the left \"highlight_green%28+-6+%29\"
It becomes \"3%2Ax-highlight_green%28+6+%29=0\".
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Look at \"highlight_red%28+3%2Ax-6+%29=0\".
Solved linear equation \"highlight_red%28+3%2Ax-6=0+%29\" equivalent to 3*x-6 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: x=2.

Universal Simplifier and Solver

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Done!
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