document.write( "Question 35094: simplify the following algebraic expression\r
\n" ); document.write( "\n" ); document.write( "Multiply: (3x + 4) (3x -4) \n" ); document.write( "
Algebra.Com's Answer #21286 by lyra(94)\"\" \"About 
You can put this solution on YOUR website!
\"%283x+%2B+4%29+%283x+-4%29\"
\n" ); document.write( "\"9x%5E2%2B12x-12x-16\"
\n" ); document.write( "\"9x%5E2-16\"
\n" ); document.write( "Also see:
\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( "
    \n" ); document.write( "
  • Graphical form: \"%283x%2B4%29%2A%283x-4%29\" simplifies to \"9%2Ax%5E2-16\"
  • Text form: (3x+4)*(3x-4) simplifies to 9*x^2-16
  • Cartoon (animation) form: \"simplify_cartoon%28+%283x%2B4%29%2A%283x-4%29+%29\"
    For tutors: simplify_cartoon( (3x+4)*(3x-4) )
    • \n" ); document.write( "
  • If you have a website, here's a link to this solution.
    • \n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

DETAILED EXPLANATION

\n" ); document.write( "
Look at \"highlight_red%28+%283%2Ax%2B4%29%2A%283%2Ax-4%29+%29\".
Expanded term \"%283%2Ax-4%29\" by using associative property on \"%283%2Ax%2B4%29\"
It becomes \"highlight_green%28+%283%2Ax-4%29%2A3%2Ax+%29%2Bhighlight_green%28+%283%2Ax-4%29%2A4+%29\".
\n" ); document.write( "
Look at \"highlight_red%28+%283%2Ax-4%29%2A3%2Ax+%29%2B%283%2Ax-4%29%2A4\".
Expanded term \"3%2Ax\" by using associative property on \"%283%2Ax-4%29\"
It becomes \"highlight_green%28+3%2Ax%2A3%2Ax+%29-highlight_green%28+3%2Ax%2A4+%29%2B%283%2Ax-4%29%2A4\".
\n" ); document.write( "
Look at \"highlight_red%28+3+%29%2Ax%2Ahighlight_red%28+3+%29%2Ax-3%2Ax%2A4%2B%283%2Ax-4%29%2A4\".
Multiplied numerator integers
It becomes \"highlight_green%28+9+%29%2Ax%2Ax-3%2Ax%2A4%2B%283%2Ax-4%29%2A4\".
\n" ); document.write( "
Look at \"9%2Ax%2Ax-highlight_red%28+3+%29%2Ax%2Ahighlight_red%28+4+%29%2B%283%2Ax-4%29%2A4\".
Multiplied numerator integers
It becomes \"9%2Ax%2Ax-highlight_green%28+12+%29%2Ax%2B%283%2Ax-4%29%2A4\".
\n" ); document.write( "
Look at \"9%2Ahighlight_red%28+x+%29%2Ahighlight_red%28+x+%29-12%2Ax%2B%283%2Ax-4%29%2A4\".
Reduce similar several occurrences of \"highlight_red%28+x+%29\" to \"highlight_green%28+x%5E2+%29\"
It becomes \"9%2Ahighlight_green%28+x%5E2+%29-12%2Ax%2B%283%2Ax-4%29%2A4\".
\n" ); document.write( "
Look at \"9%2Ax%5E2-12%2Ax%2Bhighlight_red%28+%283%2Ax-4%29%2A4+%29\".
Expanded term \"4\" by using associative property on \"%283%2Ax-4%29\"
It becomes \"9%2Ax%5E2-12%2Ax%2Bhighlight_green%28+4%2A3%2Ax+%29-highlight_green%28+4%2A4+%29\".
\n" ); document.write( "
Look at \"9%2Ax%5E2-12%2Ax%2Bhighlight_red%28+4+%29%2Ahighlight_red%28+3+%29%2Ax-4%2A4\".
Multiplied numerator integers
It becomes \"9%2Ax%5E2-12%2Ax%2Bhighlight_green%28+12+%29%2Ax-4%2A4\".
\n" ); document.write( "
Look at \"9%2Ax%5E2-12%2Ax%2B12%2Ax-highlight_red%28+4+%29%2Ahighlight_red%28+4+%29\".
Multiplied numerator integers
It becomes \"9%2Ax%5E2-12%2Ax%2B12%2Ax-highlight_green%28+16+%29\".
\n" ); document.write( "
Look at \"9%2Ax%5E2-highlight_red%28+12%2Ax+%29%2Bhighlight_red%28+12%2Ax+%29-16\".
Eliminated similar terms \"highlight_red%28+-12%2Ax+%29\",\"highlight_red%28+12%2Ax+%29\" replacing them with \"highlight_green%28+%28-12%2B12%29%2Ax+%29\"
It becomes \"9%2Ax%5E2%2Bhighlight_green%28+%28-12%2B12%29%2Ax+%29-16\".
\n" ); document.write( "
Look at \"9%2Ax%5E2%2Bhighlight_red%28+%28-12%2B12%29%2Ax+%29-16\".
Since \"highlight_red%28+%28-12%2B12%29%2Ax+%29\" has zero as a factor, it should be replaced with a zero
\n" ); document.write( "
Look at \"9%2Ax%5E2%2B0-16\".
Added fractions or integers together
It becomes \"9%2Ax%5E2%2B0-16\".
\n" ); document.write( "
Look at \"9%2Ax%5E2%2Bhighlight_red%28+0+%29-16\".
Remove extraneous zero \"highlight_red%28+0+%29\"
It becomes \"9%2Ax%5E2-16\".
Result: \"9%2Ax%5E2-16\"
\n" ); document.write( "

Universal Simplifier and Solver

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

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