Question

evaluate 17^3 +8^3 - 25^3 without actually calculation the cube​

Answer 1

$(17) {}^{3} + (8) {}^{3} - (25) {}^{3} \\ \\ = (17) {}^{3} + ( {8}^{3} ) + ( - 25) {}^{3 } \\ \\ it \: is \: in \: the \: form \: of \: \\ \\ a {}^{3} + b {}^{3} + c {}^{3} = 3abc \: \: \: (when \: a + b + c = 0) \\ \\ here \: a = 17 \: \: \: \: \: b = 8 \: \: \: c = (- 25) \\ \\ = > a + b + c = 17 + 8 + ( - 25) \\ \\ = 25 + ( - 25) = 0 \\ \\ = > ({17})^{3} +( {8})^{3} + ( { - 25})^{3} = 3(17)(8)( - 25) \\ \\ = - 10200$

Answer 2

Answer:

i don't know this question answer