Question

(467×467×467 + 533×533×533) ÷ (467×467 – 467×533 + 533×533) बराबर है,
(A) 66 (B) 198 (C) 1000 (D) 3000

Answer 1

1000

Step-by-step explanation:

$let \: 467 \: be \: x \: and \: 533 \: be \: y \\ now \: the \: expressions \: become \:( {x}^{3} + {y}^{3} ) \div ( {x}^{2} + xy + {y}^{2} ) \\ we \: know \: the \: formula \: {x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} ) \\ now \: the \: expressin \: becomes \: x + y \: only \: tht \: means \: the \: sum \: of \: 467 + 533 = 1000$