Question

the reminders when a^9-b^9 is divided by a^2+ab+b^2




urgent pls.........

Answer 1

$(a^{3} )^{3} - ({b}^{3} ) ^{3 } \div ({a}^{2} + ab + {b}^{2}) \\ ( {a}^{3} - {b}^{3} )( {a}^{6} + {a}^{3} {b}^{3} + {b}^{6} ) \div ({a}^{2} + ab + {b}^{2}) \\ (a - b)({a}^{2} + ab + {b}^{2})( {a}^{6} + {a}^{3} {b}^{3 } + {b}^{6} ) \div ({a}^{2} + ab + {b}^{2}) \\ (a - b)( {a}^{6} + {a}^{3} {b}^{3} + {b}^{6} )$

Answer 2

Answer:

(a

3

)

3

−(b

3

)

3

÷(a

2

+ab+b

2

)

(a

3

−b

3

)(a

6

+a

3

b

3

+b

6

)÷(a

2

+ab+b

2

)

(a−b)(a

2

+ab+b

2

)(a

6

+a

3

b

3

+b

6

)÷(a

2

+ab+b

2

)

(a−b)(a

6

+a

3

b

3

+b

6

)

answer is 0