document.write( "Question 259593: Alright the question is (2b-1)^3
\n" ); document.write( "I got: 8b-1
\n" ); document.write( "but the answer is:
\n" ); document.write( "8b^3-12b^2+6b-1\r
\n" ); document.write( "\n" ); document.write( "How does that work?\r
\n" ); document.write( "\n" ); document.write( "P.S ^3 and ^2 mean to the third power and second power. \n" ); document.write( "

Algebra.Com's Answer #191139 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%282b-1%29%5E3=%282b-1%29%282b-1%29%282b-1%29\"$
\n" ); document.write( "Let's break it down to smaller problem first using the FOIL Method.
\n" ); document.write( "FOIL Method (First Outer Inner Last)to find the product of (2b-1)(2b-1)
\n" ); document.write( "First : $\"%28highlight%282b%29-1%29%28highlight%282b%29-1%29=%282b%29%282b%29=4b%5E2\"$
\n" ); document.write( "Outer : $\"%28highlight%282b%29-1%29%282b%2Bhighlight%28-1%29%29=%282b%29%28-1%29=-2b\"$
\n" ); document.write( "Inner : $\"%282b%2Bhighlight%28-1%29%29%28highlight%282b%29-1%29=%28-1%29%282b%29=-2b\"$
\n" ); document.write( "Last : $\"%282b%2Bhighlight%28-1%29%29%282b%2Bhighlight%28-1%29%29=%28-1%29%28-1%29=1\"$
\n" ); document.write( " $\"%282b-1%29%282b-1%29=4b%5E2-2b-2b%2B1\"$
\n" ); document.write( " $\"%282b-1%29%282b-1%29=4b%5E2-4b%2B1\"$
\n" ); document.write( ".
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\n" ); document.write( " $\"%282b-1%29%5E3=%282b-1%29%282b-1%29%282b-1%29\"$
\n" ); document.write( " $\"%282b-1%29%5E3=%282b-1%29%284b%5E2-4b%2B1%29\"$
\n" ); document.write( "You can also use the distributive property like this,
\n" ); document.write( " $\"%282b-1%29%5E3=%282b-1%29%28Z%29\"$
\n" ); document.write( " $\"%282b-1%29%5E3=2bZ-Z\"$
\n" ); document.write( "where $\"Z=4b%5E2-4b%2B1\"$ , now that you've distributed Z you can go back and substitute for its real value.
\n" ); document.write( " $\"%282b-1%29%5E3=2bZ-Z\"$
\n" ); document.write( " $\"%282b-1%29%5E3=2b%284b%5E2-4b%2B1%29-%284b%5E2-4b%2B1%29\"$
\n" ); document.write( " $\"%282b-1%29%5E3=%288b%5E3-8b%5E2%2B2b%29-%284b%5E2-4b%2B1%29\"$
\n" ); document.write( " $\"%282b-1%29%5E3=8b%5E3-12b%5E2%2B6b-1\"$
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( "The FOIL Method is really the same distributive property we used in the second part. It's just done to help you remember to properly distribute all of the terms. \n" ); document.write( "

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