document.write( "Question 104673: Multiply (5a – 3b)^2 \n" ); document.write( "

Algebra.Com's Answer #76193 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%285a-3b%29%5E2\"$
\n" ); document.write( " $\"%285a-3b%29%285a-3b%29\"$
\n" ); document.write( " $\"%285a%2B%28-3b%29%29%285a%2B%28-3b%29%29\"$
\n" ); document.write( "Use the FOIL method (First, Outer, Inner, Last)
\n" ); document.write( "First $\"%28highlight%285a%29+%2B+%28-3b%29%29+%28highlight%285a%29+%2B+%28-3b%29%29\"$ : $\"5a%2A5a\"$
\n" ); document.write( "Outer $\"%28highlight%285a%29+%2B+%28-3b%29%29+%285a+%2B+highlight%28%28-3b%29%29%29\"$ : $\"5a%2A%28-3b%29\"$
\n" ); document.write( "Inner $\"%285a+%2B+highlight%28-3b%29%29+%28highlight%285a%29+%2B%28-3b%29%29\"$ : $\"%28-3b%29%2A5a\"$
\n" ); document.write( "Last $\"%285a+%2B+highlight%28-3b%29%29+%285a+%2B+highlight%28%28-3b%29%29%29\"$ : $\"%28-3b%29%2A%28-3b%29\"$
\n" ); document.write( " $\"%285a-3b%29%5E2\"$ =First + Outer + Inner + Last
\n" ); document.write( " $\"%285a-3b%29%5E2=5a%2A5a%2B5a%2A%28-3b%29%2B%28-3b%29%2A5a%2B%28-3b%29%2A%28-3b%29\"$
\n" ); document.write( " $\"%285a-3b%29%5E2=25a%5E2-15ab-15ab%2B9b%5E2\"$
\n" ); document.write( " $\"%285a-3b%29%5E2=25a%5E2-30ab%2B9b%5E2\"$
\n" ); document.write( "A faster way is to compare to the following equation
\n" ); document.write( " $\"%28X%2BY%29%5E2=X%5E2%2B2XY%2BY%5E2\"$
\n" ); document.write( "where
\n" ); document.write( " $\"X=5a\"$ and $\"Y=-3b\"$
\n" ); document.write( " $\"%285a-3b%29%5E2=%285a%29%5E2%2B2%285a%29%28-3b%29%2B%28-3b%29%5E2\"$
\n" ); document.write( " $\"%285a-3b%29%5E2=25a%5E2-30ab%2B9b%5E2\"$ \n" ); document.write( "

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