lm trên symbolab.com

\(\left(2\sin x-1\right)\left(2\sin2x+1\right)=3-4\cos^2x\)

\(\Leftrightarrow\left(2\sin x-1\right)\left(2\sin2x+1\right)=3-4\left(2-\sin^2x\right)\)

\(\Leftrightarrow\left(2\sin x-1\right)\left(2\sin2x+1\right)=4\sin^2x-1\)

\(\Leftrightarrow\left(2\sin x-1\right)\left(2\sin2x+1\right)=\left(2\sin x-1\right)\left(2\sin x+1\right)\)

\(\Leftrightarrow2\sin2x+1=2\sin x+1\)

\(\Leftrightarrow\sin2x=\sin x\)

\(\Leftrightarrow\sin2x-\sin x=0\)

\(\Leftrightarrow2\cos\frac{3}{2}-\cos\frac{x}{2}=0\)

\(\Leftrightarrow\orbr{\begin{cases}\cos\frac{3}{2}=0\\\cos\frac{x}{2}=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}\frac{3x}{2}=\frac{\pi}{2}+k2\pi\\\frac{x}{2}=\frac{\pi}{2}+k2\pi\end{cases}\left(k\inℤ\right)}\)

\(\Leftrightarrow\orbr{\begin{cases}x=\frac{\pi}{3}+\frac{2\pi}{3}k\\x=\pi+4k\pi\end{cases}\left(k\inℤ\right)}\)

a)

\(A=\left(100-99\right)\left(100+99\right)+\left(98-97\right)\left(98+97\right)+...+\left(2-1\right)\left(2+1\right)\)

\(A=100+99+98+97+...+2+1\)

\(A=\frac{100.101}{2}=5050\)

b)

\(B=\left(2^2-1\right)\left(2^2+1\right)\left(2^4+1\right)...\left(2^{64}+1\right)+1\)

\(B=\left(2^4-1\right)\left(2^4+1\right)...\left(2^{64}+1\right)+1\)

\(B=\left(2^8-1\right)...\left(2^{64}+1\right)+1\)

\(B=\left(2^{64}-1\right)\left(2^{64}+1\right)+1\)

\(B=2^{128}-1+1=2^{128}\)

c)

\(C=a^2+b^2+c^2+2\left(ab+bc+ca\right)+a^2+b^2+c^2+2ab-2ac-2bc-2a^2-4ab-2b^2\)

\(C=2c^2\)

thanks bạn nhaaa :3

chú ý phải làm dài

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2 / 3 x 3 / 4 = 2x3 / 3x4 =  6/12 = 1/2 

Học tốt ^_^

ah nha

\(\frac{2}{3}\).\(\frac{3}{4}\)=\(\frac{6}{12}\)=\(\frac{1}{2}\)

9 GIỜ LÀ 2 KIM ĐỒNG HỒ VUÔNG GÓC VỚI NHAU RỒI

30 phút

A.will enjoy

A. will enjoy

^{bvzrglvobhROCV^%}

   1.T

   2.T

    3.T

     4.T

    5.F

<3

Trả lời câu 1: Bà già về đích trước vì con chó có trả biết gì mà chạy cả 

Trả lời câu 2: Làm việc chăm chỉ ,đốt .

Trả lời câu 3: Cái roi

Đáp án của mik khác bn ngọc
nhưng câu một và hai bn có ý đúng nhưng câu ba bn chưa hiểu vấn đề

bn vt hỗn số kiểu j dzậy????

\(20,18\cdot2\frac{2}{5}+201,8\cdot\frac{97}{22}\cdot220\%+0,006\cdot2018\)

\(=2018\cdot\frac{1}{100}\cdot2\frac{2}{5}+2018\cdot\frac{1}{10}\cdot\frac{97}{22}+\frac{6}{1000}+2018\)

\(=2018\cdot\left(\frac{1}{100}\cdot2\frac{2}{5}+\frac{1}{10}\cdot\frac{97}{22}+6\cdot\frac{1}{1000}\right)\)

\(=2018\cdot\left[\frac{1}{1000}\cdot\left(6+100\cdot\frac{97}{22}+10\cdot2\frac{2}{5}\right)\right]\)

\(=\frac{1009}{500}\cdot\left[10\cdot\left(10\cdot\frac{97}{22}+\frac{12}{5}\right)\right]\)

\(=\frac{1009}{50}\cdot45\frac{12}{5}=\frac{239133}{250}\)