Question

Делится ли 672³- 428³на 122

Answer 1

$= (672 - 428)( {672}^{2} + 672 \times 428 + {428}^{2} ) = 244 \times ( {672}^{2} + 672 \times 428 + {428}^{2} )$так как 244 делится на 122, то соответственно все выражение делится на 122

Answer 2

To determine if the number 672³ - 428³ is divisible by 122, we can calculate the value of the expression and then check if it is divisible by 122.

First, let's calculate the value of 672³ - 428³: 672³ - 428³ = 287,496,768 - 80,380,032 = 207,116,736

Now, let's check if 207,116,736 is divisible by 122:

Divide 207,116,736 by 122:

207,116,736 ÷ 122 = 1,694,993.0491803279

Since the result is not a whole number, 207,116,736 is not divisible by 122. Therefore, 672³ - 428³ is not divisible by 122.