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 Pre-Calculus Pre-Calculus Math Forum

 February 23rd, 2019, 05:57 AM #1 Senior Member   Joined: Dec 2015 From: somewhere Posts: 645 Thanks: 92 Need explanation Just give the hint . (1) If $\displaystyle a+b+c=0 \;$ and $\displaystyle a\neq b \neq c\;$ a,b,c real numbers . Show that $\displaystyle \frac{a^2 }{bc +2a^2 } +\frac{b^2 }{ac+2b^2 } +\frac{c^2 }{ ab+2c^2 }=1$ . (2) Factorize the polynomial : $\displaystyle x^7 +x^5 +1$ . February 23rd, 2019, 09:52 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,973 Thanks: 2224 (1) Replace $a$ with $-(b + c)$ throughout the left-hand side of the equation to be proved. (2) Try to find a quadratic factor. Thanks from topsquark and idontknow Tags explanation 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 Vaki Calculus 7 April 7th, 2014 04:12 PM rain Calculus 3 July 19th, 2013 11:21 PM daivinhtran Algebra 5 July 24th, 2011 11:54 AM Male_volence Calculus 2 February 13th, 2008 04:20 AM rain Real Analysis 3 December 31st, 1969 04:00 PM

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