speed maths

Simple equations

More examples of the denominators being cyclical in the form AB, BC and CA.

Note the thin disguise in the problem:

 

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speed math

Simple equations 

More examples of the denominators being cyclical in the form AB, BC and CA, then

  

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speed math

Simple equations 

Special cases using speed math for competition

If the denominators are cyclical in the form AB , BC and CA, then

 

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speed math

Simple equations

Special cases using speed math for competition

 

 

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speed math

Multiplication of polynomials using duplex method 

11-indicies

Prove that X = 3ⁿ⁺².2ⁿ⁺³ + 3ⁿ⁺¹. 2ⁿ⁺⁴ is divisible by 720, given that n ε N.

10-indicies

Show that 2²⁰¹³ – 2²⁰¹² - 2²⁰¹¹ – 2²⁰¹⁰ is a perfect square.

9- indicies

Prove that X = 4ⁿ⁺¹.9ⁿ⁺² + 6²ⁿ⁺¹.9 - 2²ⁿ.9ⁿ⁺¹ is divisible by 369. Given that n ε N.