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📰 Solution: Expand $ (\sin x + 2\cos x)^2 = \sin^2 x + 4\sin x \cos x + 4\cos^2 x $. Add $ \sin^2 x $: total $ 2\sin^2 x + 4\sin x \cos x + 4\cos^2 x $. Simplify using identities: $ 2(1 - \cos^2 x) + 2\sin 2x + 4\cos^2 x = 2 + 2\cos^2 x + 2\sin 2x $. Let $ u = \cos^2 x $, $ \sin 2x = 2\sin x \cos x $. Alternatively, rewrite original expression as $ \sin^2 x + 4\sin x \cos x + 4\cos^2 x + \sin^2 x = 2\sin^2 x + 4\sin x \cos x + 4\cos^2 x $. Let $ f(x) = 2\sin^2 x + 4\sin x \cos x + 4\cos^2 x $. Use $ \sin^2 x = rac{1 - \cos 2x}{2} $, $ \cos^2 x = rac{1 + \cos 2x}{2} $, $ \sin x \cos x = rac{\sin 2x}{2} $: 📰 $ f(x) = 2\left(rac{1 - \cos 2x}{2} 📰 ight) + 4\left(rac{\sin 2x}{2} 📰 From Laughs To Tears The Best 90S Family Movies Every Viewer Should Rewatch 2003426 📰 Detroit Tigers Vs Baltimore Orioles Match Player Stats 532072 📰 The Saint Movie 4504739 📰 Shocking Cvm Outpaces Yahoo Financewhat This Means For Your Portfolio Now 7519930 📰 From Poisonous To Mesmerizing The Crushing Truth About Rowan Bushes You Never Learned 6846355 📰 Cattle Gestation Table The Secret Weapon For Optimizing Birth Outcomes 8086429 📰 Flights To Iowa 1639449 📰 Step Inside The Ultimate Games Workshopheres How To Master Every Tip Trick 4648078 📰 Orula 6770911 📰 Vladdy 6841955 📰 What Are The Best Toothpastes For Whitening 5160217 📰 Can I Take Coins To The Bank 8586281 📰 Cbs In Live 932578 📰 Hes Not Just A Turnip Meet The Boy Who Revolutionized Vegan Feasts 8116536 📰 179 Gain Discover Why Byrn Stock Is Hitting Records Right Now 4200138