Algebra
Polynomial Arithmetic
by
Chung Kevin
\[ \large \left( \sqrt{{\color{red}60}} + {\color{blue}3}\sqrt{{\color{blue}7}}\right)^2\left( \sqrt{{\color{red}60}} - {\color{blue}3}\sqrt{{\color{blue}7}}\right)^2 = \ ?\]
by
Cao Mạnh Khải
\[ \large x+\frac{1}{x} = 5, \quad\quad\quad x^2 + \frac{1}{x^2} = \ ? \]
by
Anshul Sanghi
\[\large 10^x=\Big(10^{624}+25\Big)^2-\Big(10^{624}-25\Big)^2\]
What is the value of \(x\) that satisfies the equation above?
by
Paola Ramírez
Which of the following equals \(\dfrac { { a }^{ 2 }-{ b }^{ 2 } }{ a-b } \) for \(a\neq b\)?
by
Archit Boobna