document.write( "Question 831535: Please help me solve this expression; (xy+3)^2 x=2 y=5\r
\n" ); document.write( "\n" ); document.write( "This is what I have tried....(5)^2 x (2)^2 + 3
\n" ); document.write( " 25 x 4 = 100+3=103
\n" ); document.write( " 103 x 2 = 206\r
\n" ); document.write( "\n" ); document.write( "But the answer is 169...I want to understand how they got this answer so I can move on with my homework....Please help me understand...Thank you \n" ); document.write( "
Algebra.Com's Answer #501464 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
When \"x=2\" and \"y=5\" \"xy\" means the product of \"x\" times \"y\" so \"xy=2%2A5\" so \"xy=10\" .
\n" ); document.write( "You probably knew that.
\n" ); document.write( "You may not quite remember the rules for order of operations, which may be a bit new to you.\r
\n" ); document.write( "\n" ); document.write( "To calculate \"%28xy%2B3%29%5E2=%282%2A5%2B3%29%5E2\" , we have to calculate according to order of operation rules.
\n" ); document.write( "Those are the language rules of algebra that people have agreed to follow so that we can understand each other when we write out a calculation more complicated than what we used to do in 4th grade.
\n" ); document.write( "We need to calculate \"%282%2A5%2B3%29\" before squaring it,
\n" ); document.write( "because there are parentheses around it, and parentheses are given first priority.
\n" ); document.write( "To calculate \"2%2A5%2B3\" we need to do the multiplication before the addition,
\n" ); document.write( "because multiplication has priority over addition.
\n" ); document.write( "So, in order, we calculate it like this:
\n" ); document.write( "\"%282%2A5%2B3%29%5E2=%2810%2B3%29%5E2\" (multiplication done)
\n" ); document.write( "The next step is
\n" ); document.write( "\"%2810%2B3%29%5E2=13%5E2\" (addition done, completing the calculation of the expression in parentheses)
\n" ); document.write( "The next and last step is
\n" ); document.write( "\"13%5E2=169\"\r
\n" ); document.write( "\n" ); document.write( "I could write the whole calculation in one line as
\n" ); document.write( "\"%282%2A5%2B3%29%5E2=%2810%2B3%29%5E2=13%5E2=169\" ,
\n" ); document.write( "unless your teacher does not like to see it that way.
\n" ); document.write( "
\n" ); document.write( "NOTES:
\n" ); document.write( "Many teachers do not like to see two equal signs in a row as in \"xy=2%2A5=10\" or \"%282%2A5%2B3%29%5E2=%2810%2B3%29%5E2=13%5E2=169\" .
\n" ); document.write( "They want to avoid having students write something wrong, like
\n" ); document.write( "25 x 4 = 100+3 = 103 .
\n" ); document.write( "When you wrote that you started with 25 x 4 = 100, which was true.
\n" ); document.write( "Then you thought about adding 3, and 100+3 = 103 is also true,
\n" ); document.write( "but when you added \"+ 3\" to the right of \"25 x 4 = 100\" you made it read
\n" ); document.write( "\"25 x 4 = 100 + 3\" and that is wrong.
\n" ); document.write( " \n" ); document.write( "
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