document.write( "Question 26210: 3(z+6) + 6(z+9) \n" ); document.write( "
Algebra.Com's Answer #14084 by AnlytcPhil(1806) $\"\"$ $\"About$
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3(z + 6) + 6(z + 9)\r\n" );
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document.write( "In 3(z + 6) there is one multipler outside the parentheses, namely 3, and two\r\n" );
document.write( "terms inside, namely z and 6.  Multiply the outer 3 by BOTH the inner terms z\r\n" );
document.write( "and 6 and get 3 times z and 3 times 6.  Three times z is written 3z, and 3\r\n" );
document.write( "times 6 is, of course, written as 18. So replace 3(z+6) with 3z+18, Now we have\r\n" );
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document.write( "3z + 18 + 6(z + 9)\r\n" );
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document.write( "In 6(z + 9) there is one multipler outside the parentheses, namely 6, and two\r\n" );
document.write( "terms inside, namely z and 9.  Multiply the outer 6 by BOTH the inner terms z\r\n" );
document.write( "and 9 and get 6 times z and 6 times 9.  Six times z is written 6z, and 6 times\r\n" );
document.write( "9 is, of course, written as 54. So replace 6(z+9) with 6z+54, Now we have\r\n" );
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document.write( "3z + 18 + 6z + 54\r\n" );
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document.write( "Now we put like terms together.  The term 3z and the term 6z are like terms\r\n" );
document.write( "because they both have z's, so we put them together.  The term 18 and the term\r\n" );
document.write( "54 are like terms because they both have z's, so we put them together.  That\r\n" );
document.write( "is, we swap places with the 18 and the 6z, and write\r\n" );
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document.write( "3z + 6z + 18 + 54\r\n" );
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document.write( "Now we add 3z and 6z and get 9z. So now we have\r\n" );
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document.write( "9z + 18 + 54\r\n" );
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document.write( "Now we add 18 and 54 and get 72, and this is our final answer\r\n" );
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document.write( "9z + 72\r\n" );
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document.write( "We can go no further because we cannot add unlike terms and get a single term,\r\n" );
document.write( "because we don't know what z represents. We can only indicate their addition\r\n" );
document.write( "until someone tells us what number z represents.\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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