Algebra

Polynomial Arithmetic

Polynomial Arithmetic: Level 2 Challenges

         

11494112+92= ?\large \frac{ 11^4 - 9 ^ 4 } { 11 ^2 + 9^ 2 } = \ ?

(60+37)2(6037)2= ? \large \left( \sqrt{{\color{#D61F06}60}} + {\color{#3D99F6}3}\sqrt{{\color{#3D99F6}7}}\right)^2\left( \sqrt{{\color{#D61F06}60}} - {\color{#3D99F6}3}\sqrt{{\color{#3D99F6}7}}\right)^2 = \ ?

x+1x=5,x2+1x2= ? \large x+\frac{1}{x} = 5, \quad\quad\quad x^2 + \frac{1}{x^2} = \ ?

10x=(10624+25)2(1062425)2\large 10^x=\Big(10^{624}+25\Big)^2-\Big(10^{624}-25\Big)^2

What is the value of xx that satisfies the equation above?

Which of the following equals a2b2ab\dfrac { { a }^{ 2 }-{ b }^{ 2 } }{ a-b } for aba\neq b?

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