document.write( "Question 918111: I am trying to figure this out and I am struggling so someone please help me. Why is (x+y)² not equal to x²+y²? Just lead me in the right direction because maybe I am just not understanding this question. I have to provide a numerical example to illustrate it but not if I do not understand it. \n" ); document.write( "
Algebra.Com's Answer #556900 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "(x+y)² means to write (x+y) twice like this\r\n" ); document.write( "\r\n" ); document.write( "(x+y)(x+y) and then use FOIL to multiply\r\n" ); document.write( " it out\r\n" ); document.write( "\r\n" ); document.write( "x²+xy+xy+y² and combine the middle two\r\n" ); document.write( " terms which are like terms\r\n" ); document.write( "\r\n" ); document.write( "x²+2xy+y²\r\n" ); document.write( "\r\n" ); document.write( "If you only got x²+y² you would leave out\r\n" ); document.write( "the 2xy that you got from combining the\r\n" ); document.write( "middle two terms after FOILing.\r\n" ); document.write( "\r\n" ); document.write( "A numerical example to show that\r\n" ); document.write( "\r\n" ); document.write( "(x+y)² is not the same as x²+y² is this\r\n" ); document.write( "\r\n" ); document.write( "(2+3)² is not the same as 2²+3² because\r\n" ); document.write( "(2+3)² equals (5)² which equals 25. But\r\n" ); document.write( "2²+3² equals 4+9 which equals 13. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |