document.write( "Question 548440: m exponent 2 (m exponent 3 minus y exponent 3) we need to simplify each expression.
\n" ); document.write( "so is it m exponent 6 - y exponent 3? \n" ); document.write( "

Algebra.Com's Answer #357228 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"m%5E2%28m%5E3-y%5E3%29\"$ ?
\n" ); document.write( "You could write that as m^2(m^3-y^3). (The caret symbol, \"^\" is used to show that what follows immediately after that is an exponent).
\n" ); document.write( " $\"m%5E2%28m%5E3-y%5E3%29=m%5E2%2Am%5E3-m%5E2%2Ay%5E3=m%5E5-m%5E2y%5E3\"$
\n" ); document.write( "The first equal sign
\n" ); document.write( " $\"m%5E2%28m%5E3-y%5E3%29=m%5E2%2Am%5E3-m%5E2%2Ay%5E3\"$
\n" ); document.write( "is applying the distributive property.
\n" ); document.write( " $\"m%5E2\"$ is multiplied times the entire parenthesis, not just times $\"m%5E3\"$ .
\n" ); document.write( "Imagine buying three units of an item that costs $9.95. The price per unit is ($10-$0.05). The cost of three of those is
\n" ); document.write( "3($10-$0.05)= 3($10)-3($0.05)=$29.85
\n" ); document.write( "If the cashier calculated your cost as
\n" ); document.write( "3($10)-$0.05=$29.95
\n" ); document.write( "you would complain, wouldn't you?
\n" ); document.write( "The second equal sign
\n" ); document.write( " $\"m%5E2%2Am%5E3-m%5E2%2Ay%5E3=m%5E5-m%5E2y%5E3\"$
\n" ); document.write( "uses the fact that when multiplying powers of the same base you get a power (of the same base) with an exponent equal to the sum of the exponents in the factors.
\n" ); document.write( " $\"m%5E2%2Am%5E3=%28m%2Am%2Am%29%2A%28m%2Am%29=m%2Am%2Am%2Am%2Am=m%5E5\"$ \n" ); document.write( "

\n" );