\(x^3+y^3\)

\(=\left(x+y\right)\left(x^2-xy+y^2\right)\)

= ( x+ y ) mũ 3

Thôi được rồi .

Giải:

\(P=\frac{1}{1.5}+\frac{1}{5.9}+...+\frac{1}{\left(4n-3\right)\left(4n+1\right)}\)

\(\Rightarrow4A=\frac{4}{1.5}+\frac{4}{5.9}+...+\frac{4}{\left(4n-3\right)\left(4n+1\right)}\)

            \(=\frac{5-1}{1.5}+\frac{9-5}{5.9}+...+\frac{\left(4n+1\right)-\left(4n-3\right)}{\left(4n-3\right)\left(4n+1\right)}\)

            \(=\left(\frac{1}{1}-\frac{1}{5}\right)+\left(\frac{1}{5}-\frac{1}{9}\right)+...+\frac{1}{4n-3}-\frac{1}{4n+1}\)

            \(=1-\frac{1}{4n+1}=\frac{4n}{4n+1}\)

Vậy \(A=\frac{4n}{4n+1}\)

cảm ơn nha

cái cuối cùng là j vậy bạn , ko hiểu đề lắm 

\(\left[\left(e-m\right)^2-\left(e+m\right)^2\right]\left[\left(y-1\right)^2-\left(y+1\right)^2\right]\) 

\(=\left[\left(e-m-e-m\right)\left(e-m+e+m\right)\right]\) \(\left[\left(y-1-y-1\right)\left(y-1+y+1\right)\right]\)

\(=\left[-2m.2e\right]\left[-2.2y\right]\)

\(=-4me.\left(-4y\right)\)

\(=16mey\)

Đây là toán 7 à???????

Đặt \(A=1+\frac12+\frac{1}{2^2}+\cdots+\frac{1}{2^{2023}}+\frac{1}{2^{2024}}\)

\(2A=2+1+\frac12+\frac{1}{2^2}+\cdots+\frac{1}{2^{2022}}+\frac{1}{2^{2023}}\)

\(2A-A=2-\frac{1}{2^{2024}}\)

\(A=2-\frac{1}{2^{2024}}\)

Thay vào pt ban đầu:

\(\left(x+\frac12\right)^{2024}=2-\left(2-\frac{1}{2^{2024}}\right)\)

\(\left(x+\frac12\right)^{2024}=\frac{1}{2^{2024}}=\left(\frac12\right)^{2024}\)

\(x+\frac12=\frac12\) hoặc \(x+\frac12=-\frac12\)

\(x=0\) hoặc \(x=-1\)

\(\frac{x}{y}=\frac{7}{9}\Rightarrow\frac{x}{7}=\frac{y}{9}=k\)

\(\Rightarrow\hept{\begin{cases}x=7k\\y=9k\end{cases}}\)

Bạn tham khảo nhé!

Câu kia bạn sửa d thành c giúp mik nhé