My Math Forum An expression x^2 + (3y + 5)x + 2(y + 3)(y + 1)

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 February 3rd, 2014, 06:47 PM #1 Senior Member     Joined: Feb 2014 From: Louisiana Posts: 156 Thanks: 6 Math Focus: algebra and the calculus An expression x^2 + (3y + 5)x + 2(y + 3)(y + 1) In the expression x^2 + (3y + 5)x + 2(y + 3)(y + 1), what is the reason behind 2(y + 3) + (y + 1) = 3y + 5? What is the relationship between the coefficient of x, (3y + 5), and the three products 2(y + 3)(y + 1)?
 February 3rd, 2014, 09:51 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,099 Thanks: 1905 The correct equation is (y + 3) + 2(y + 1) = 3y + 5. That equation is clearly valid and explains why x² + (3y + 5)x + 2(y + 3)(y + 1) factorizes as (x + y + 3)(x + 2(y + 1)).

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