document.write( "Question 189314: the square of the sum of two numbers equals the sum of their squares plus twice their product \n" ); document.write( "

Algebra.Com's Answer #142026 by J2R2R(94) $\"\"$ $\"About$

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The square of the sum of two numbers equals the sum of their squares plus twice their product.\r
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\n" ); document.write( "\n" ); document.write( "This should be obvious as it is applied to all values – it doesn’t have any specific solutions.\r
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\n" ); document.write( "\n" ); document.write( "The square of the sum of two numbers: (x + y)^2; equals the sum of their squares plus twice their product: x^2 + y^2 + 2xy.\r
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\n" ); document.write( "\n" ); document.write( "Well, (x + y)^2 = x^2 + y^2 + 2xy for all values of x and y, so it is like saying two times the number equals the number times two, which applies to all numbers.\r
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\n" ); document.write( "\n" ); document.write( "So the question is nothing more than a statement of what expanding the expression (x + y) to the second power gives. \n" ); document.write( "

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