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 Algebra Pre-Algebra and Basic Algebra Math Forum

 August 5th, 2015, 04:13 PM #1 Senior Member   Joined: May 2012 Posts: 205 Thanks: 5 factor How does (x^2+sqrt(2)*x+1)(x^2-sqrt(2)*x+1) follow from: (x^2+1)^2-(sqrt(2)*x)^2 August 5th, 2015, 04:18 PM #2 Senior Member   Joined: May 2012 Posts: 205 Thanks: 5 I guess.. (x^2+1)^2=(sqrt(2)*x)^2 x^2+1=+/-(sqrt(2)*x) August 5th, 2015, 06:07 PM #3 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,691 Thanks: 2670 Math Focus: Mainly analysis and algebra More or less. It's just the difference of two squares$$a^2-b^2=(a+b)(a-b)$$ The factorisation can be verified easily enough by expanding the brackets. Thanks from greg1313 August 6th, 2015, 07:19 PM #4 Senior Member   Joined: Nov 2010 From: Indonesia Posts: 2,001 Thanks: 132 Math Focus: Trigonometry (x^2+sqrt(2)*x+1)(x^2-sqrt(2)*x+1) =(x^2+1+sqrt(2)*x)(x^2+1-sqrt(2)*x) =((x^2+1)+(sqrt(2)*x))((x^2+1)-(sqrt(2)*x)) Now, try using what v8archie told you with a=x^2+1 and b=sqrt(2)*x. Tags factor Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post mared Algebra 1 April 5th, 2014 11:18 AM mared Algebra 4 March 25th, 2014 05:09 PM Mr Davis 97 Algebra 4 March 1st, 2014 10:07 PM Albert.Teng Algebra 7 June 16th, 2012 04:30 AM daigo Algebra 3 June 14th, 2012 05:38 PM

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