document.write( "Question 49847: Use the distributive property to remove the parentheses in the following expression. Then simplify your result if possible.
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Algebra.Com's Answer #33110 by AnlytcPhil(1806)\"\" \"About 
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Use the distributive property to remove the parentheses \r\n" );
document.write( "in the following expression.  Then simplify your result \r\n" );
document.write( "if possible.\r\n" );
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document.write( "	10(8 + 4)\r\n" );
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document.write( "The PEMDAS rule says we have to do all operations inside \r\n" );
document.write( "parentheses before we can multiply.\r\n" );
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document.write( "However, the DISTRIBUTIVE PROPERTY allows us to VIOLATE \r\n" );
document.write( "the PEMDAS rule to a certain extent!!!\r\n" );
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document.write( "It allows us to multiply first WITHOUT doing the operations\r\n" );
document.write( "of addition or subtraction inside the parentheses first.\r\n" );
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document.write( "However, when we use the DISTRIBUTIVE PROPERTY we must \r\n" );
document.write( "multiply by every term inside the parenthesesw.\r\n" );
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document.write( "To demonstrate the DISTRIBUTIVE PROPERTY in your example \r\n" );
document.write( "we do not have to add the 8 and the 4 in the parentheses \r\n" );
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document.write( "Instead we can multiply the 10 by BOTH the 8 and the 4. \r\n" );
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document.write( "	10(8 + 4)    =\r\n" );
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document.write( "      10(8) + 10(4)  =\r\n" );
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document.write( "         80 + 40     =\r\n" );
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document.write( "           120 \r\n" );
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document.write( "That's the answer.  You can check it by using PEMDAS, where\r\n" );
document.write( "we must do the addition inside the parentheses first:\r\n" );
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document.write( "        10(8 + 4)\r\n" );
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document.write( "         10(12)\r\n" );
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document.write( "          120\r\n" );
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document.write( "We get the same answer using PEMDAS that we get when we use\r\n" );
document.write( "the DISTRIUTIVE PROPERTY.  \r\n" );
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document.write( "Now you may wonder why we need to learn the DISTRIBUTIVE \r\n" );
document.write( "PROPERTY since we can just use PEMDAS, and PEMDAS is \r\n" );
document.write( "easier. \r\n" );
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document.write( "The answer is that in algebra where we have \r\n" );
document.write( "unknowns like x sometimes we CANNOT add what is inside \r\n" );
document.write( "the parentheses, as in the expression 10(8 + x).\r\n" );
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document.write( "We CANNOT add the 8 and the x because x is unknown. \r\n" );
document.write( "However we can use the DISTRIBUTIVE PROPERTY and get \r\n" );
document.write( "rid of the parentheses:\r\n" );
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document.write( "	10(8 + x)    =\r\n" );
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document.write( "      10(8) + 10(x)  =\r\n" );
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document.write( "         80 + 10x      \r\n" );
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document.write( "And so the DISTRIBUTIVE PROPERTY allows us to at least\r\n" );
document.write( "eliminate the parentheses even when we can't add the\r\n" );
document.write( "terms inside them.\r\n" );
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document.write( "Edwin
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