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\(C=\left(x^2-1\right)\left(x^2+1\right)\left(x^4+1\right)\left(x^8+1\right)\left(x^{16}+1\right)\left(x^{32}+1\right)-x^{64}\\ =\left(x^4-1\right)\left(x^4+1\right)\left(x^8+1\right)\left(x^{16}+1\right)\left(x^{32}+1\right)-x^{64}\\ =\left(x^8-1\right)\left(x^8+1\right)\left(x^{16}+1\right)\left(x^{32}+1\right)-x^{64}\\ =\left(x^{16}-1\right)\left(x^{16}+1\right)\left(x^{32}+1\right)-x^{64}\\ =\left(x^{32}-1\right)\left(x^{32}+1\right)-x^{64}\\ =\left(x^{64}-1\right)-x^{64}\\ =-1\)
Vậy đa thức ko phụ thuộc vào x
\(y\left(x-y\right)\left(x+y\right)\\ =y\left(x^2-y^2\right)\\ =x^2y-y^3\)
\(x\left(x+y\right)\left(x^2+y^2\right)\left(x^4+y^4\right)\left(x^8+y^8\right)\left(x-y\right)+xy^{16}\\ =x\left(x+y\right)\left(x-y\right)\left(x^2+y^2\right)\left(x^4+y^4\right)\left(x^8+y^8\right)+xy^{16}\\ =x\left(x^2-y^2\right)\left(x^2+y^2\right)\left(x^4+y^4\right)\left(x^8+y^8\right)+xy^{16}\\ =x\left(x^4-y^4\right)\left(x^4+y^4\right)\left(x^8+y^8\right)+xy^{16}\\ =x\left(x^8-y^8\right)\left(x^8+y^8\right)+xy^{16}\\ =x\left(x^{16}-y^{16}\right)+xy^{16}\\ =x^{17}-xy^{16}+xy^{16}\\ =x^{17}\)
\(A=\dfrac{3+\sqrt{3}}{\sqrt{3}}-\dfrac{2}{\sqrt{3}+1}+1\\ =\dfrac{\sqrt{3}\left(\sqrt{3}+1\right)}{\sqrt{3}}-\dfrac{2\left(\sqrt{3}-1\right)}{3-1}+1\\ =\sqrt{3}+1-\dfrac{2\left(\sqrt{3}-1\right)}{2}+1\\ =\sqrt{3}+1-\left(\sqrt{3}-1\right)+1\\ =\sqrt{3}+1-\sqrt{3}+1+1\\ =3\)
A \ B = {0,1}
B \ A = {5;6}
(A\B) U (B\A) = {0;1;5;6}
=> A
TYPE 1: BÀI TẬP CÂU SO SÁNH HƠNTập nhận biết: Các câu ở dạng so sánh hơn sẽ có 2 đối tượng để so sánh và trong câu có từ“than”. Khi làm bài cần lưu ý xác định tính từ trong ngoặc là tính từ ngắn hay tính từ dài đểsử dụng cấu trúc tương ứng1. His voice is ( sweet ) ______sweeter__________________than Hoa2. Dogs are(intelligent) ________more intelligent________________than cats3. My Math class is (boring) ________more boring________________than my English class...4. China is far (large) _________larger_______________than the UK...5. My hair is (short)____________shorter____________ than Betty’s.6. This flower is(beautiful) _________more beautiful_______________than that one.7. Tuan is ______better___________ than Hung ( good)8. English is _________more difficult_____________ than Vietnamese ( difficult)9. Lisa’s weight is _______heavier__________ than her sister ( heavy)10. Non-smokers’ life is (long) _______longer_________________than smokers’
TYPE 2:BÀI TẬP SO SÁNH HƠN NHẤTTập nhận biết: Các câu ở dạng so sánh hơn nhất thường chỉ có 1 đối tượng duy nhất, sau tínhtừ sẽ là 1 danh từ. Khi làm bài cần lưu ý xác định tính từ trong ngoặc là tính từ ngắn hay tínhtừ dài để sử dụng cấu trúc tương ứng. Các con lưu ý thêm “the” trước tính từ so sánh hơn nhất1. My Tam is one of (popular) _______the most popular_________________singers in my country.2. This is (exciting) ______the most exciting__________________film I’ve ever seen.3. Summer is____________the hottest____________season of the year (hot)4. Dogs are(intelligent) __________the most intelligent______________in my zoo5. Which is the (dangerous) _________most dangerous_______________animal in the world?6. This is (exciting) ________the most exciting________________film I’ve ever seen7. The weather this summer is even (bad) _________worse_______________than last summer.8. Who is the (rich) _________richest_______________woman on earth?9. He was the (clever) _________ cleverest_______________thief of all.10. Her daughter is (beautiful) ________the most beautiful________________ in her family
He said that he wanted a camera for his birthday
Tim asked his Boss if he would find a job the next week
Peter asked Janet if He could borrow his typewriter
She asked us not to use too much hot water
The office manager asked his employ why he hadn't got computer before
He said that he had bought some popcorn the day before
\(y=tan15x=\dfrac{sin15x}{cos15x}\\ ĐK:cos15x\ne0\\ \Rightarrow\left[{}\begin{matrix}x\ne\dfrac{\pi}{30}+\dfrac{k2}{15}\\x\ne\dfrac{-\pi}{30}+\dfrac{k2}{15}\end{matrix}\right.\)
\(\Rightarrow TXĐ:R/\left(\dfrac{\pi}{30}+\dfrac{2k}{15};\dfrac{-\pi}{30}+\dfrac{2k}{15}\right)\)
a, Tổ bác Diễm nhận đan số chiếc hộp cói là : \(1000\times\dfrac{1}{4}=250\left(chiếc\right)\)
b, Con rô bốt phải chuyển : \(250\times\dfrac{3}{2}=375\left(kg\right)\)