document.write( "Question 116128: Factor completely:\r
\n" ); document.write( "\n" ); document.write( "1. x^3 - 26x^ + 48x\r
\n" ); document.write( "\n" ); document.write( "2. x^ - 6wy + 3xy -2 wx\r
\n" ); document.write( "\n" ); document.write( "3. x^2 -5x - 14\r
\n" ); document.write( "\n" ); document.write( "4. 4x^2 - 36y^ \n" ); document.write( "

Algebra.Com's Answer #84431 by MathLover1(20849) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"x%5E3+-+26x%5E2+%2B+48x+\"$ ЕЕnotice that $\"x\"$ is common in all three terms, factor it out\r
\n" ); document.write( "\n" ); document.write( " $\"x%28x%5E2+-+26x+%2B+48%29+\"$ ЕЕЕreplace $\"-+26x\"$ with the two numbers that multiply to $\"48\"$ and add to $\"-26\"$ , which are: $\"-2\"$ and $\"-24\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%28x%5E2+-+2x+-+24x+%2B+48%29+\"$ ЕЕЕgroup the first two terms together and the last two terms together \r
\n" ); document.write( "\n" ); document.write( " $\"x%28%28x%5E2+-+2x%29+%2B%28+-+24x+%2B+48%29%29+\"$ ЕЕЕfactor a $\"1x\"$ out of the first group and factor a $\"-24\"$ out of the second group\r
\n" ); document.write( "\n" ); document.write( " $\"x%281x%28x+-+2%29+-24%28+x+-+2%29%29+\"$ ЕЕЕnow we have a common term $\"x+%96+2\"$ we can combine the two terms\r
\n" ); document.write( "\n" ); document.write( " $\"x%28x+-24%29%28+x+-+2%29+\"$ ЕЕЕthis is your answer\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2. \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+-+6wy+%2B+3xy+-2+wx+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2+%2B+3xy%29+%2B+%28+-2+wx-+6wy+%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%28x%2B+3y%29+-2w+%28+x+%2B+3y+%29+\"$ ЕЕЕЕЕ. combine the common terms\r
\n" ); document.write( "\n" ); document.write( " $\"x%28x+-2w%29+%28+x+%2B+3y+%29+\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3. \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+-5x+-+14+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+-5x+-+14+\"$ ЕЕЕ.replace $\"-5x\"$ with the two numbers that multiply to $\"-14\"$ and add to $\"-5\"$ , which are $\"+2\"$ and $\"-7\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2+%2B+2x+-7x+-+14+\"$ ЕЕЕ.group the first two terms together and the last two terms together\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%5E2+%2B+2x%29%2B%28-7x+-+14%29+\"$ ЕЕЕ.Factor a $\"x\"$ out of the first group and factor a $\"-7\"$ out of the second group\r
\n" ); document.write( "\n" ); document.write( " $\"x%28x+%2B+2%29-+7%28+x+%2B+2%29+\"$ ЕЕЕcombine the common terms\r
\n" ); document.write( "\n" ); document.write( " $\"x%28x+-+7%29+%28+x+%2B+2+%29+\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "4. \r
\n" ); document.write( "\n" ); document.write( " $\"4x%5E2+-+36y%5E2\"$ ЕЕЕ..notice that you can write $\"4\"$ as a $\"2%5E2\"$ and $\"36\"$ as a $\"6%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%5E2%2Ax%5E2+-6%5E2%2Ay%5E2\"$ ..............we can write $\"6%5E2\"$ as $\"2%5E2%2A3%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%5E2%2Ax%5E2+-2%5E2%2A3%5E2%2Ay%5E2\"$ ..............factor out common $\"2%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2%5E2%28x%5E2+-3%5E2%2Ay%5E2%29\"$ .............\r
\n" ); document.write( "\n" ); document.write( " $\"2%5E2%28x%5E2+-%283y%29%5E2%29\"$ .............notice the difference square numbers, apply rule for it\r
\n" ); document.write( "\n" ); document.write( " $\"4%28x+-3y%29%28x%2B3y%29\"$ .............\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );