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Math reasoning-Puzzle 327

 By Panos Kalliantasis

Test your reasoning skills
Can you find the logical relation of the equations and then find the missing number?

 

 

 If

12*12=81

13*13=256

14*14 =625

Then 15*15=???

Try to solve it yourself and discover the rule that the equations follow.

Scroll down to see the answer


If the numbers of the equations are
AB*AB
The pattern is:
AB*AB=(A+B)^2 *(A+B)2
12*12=(1+2)^2 *(1+2)*2=3^2 *
3^2=81
13*13=(1+3)^2 *(1+3)^2=4^2
*4^2=256
14*14=(1+4)^2 *(1+4)^2=625

15*15=(1+5)^2 *(1+5)^2=6^2
*6^2=1296
Correct answer is 1296

 

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