Question

using this pattern find the value of each of the following 81 cube 3 - 80 cube 3​

Answer 1

Answer:

1729=1728+1=12×3+1×3

1729=1000+729+10×3×9×3

Answer 2

Answer:

19441

Step-by-step explanation:

^ - ^

The difference of cubes of 2 consecutive numbers is equal to three times their product plus 1.

 (+)^ - ^ = 3n(n+1) +1

= 1 + 3 x 81 x 80 = 19441

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