x³– 8y³+ 64z³+ 24xyz
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Question :-
➠ x³ - 8y³ + 64z³ + 24xyz
Formula used :-
➪ a³ + b³ + c³ - 3abc
➭ (a + b + c) (a² + b² + c² - ab - bc - ca)
Answer :-
➠ x³ - 8y³ + 64z³ + 24xyz
➻ (x)³ + (-2y)³ + (4z)³ - 3 × (x) × (-2y) × (4z)
➻ (x - 2y + 4z) {(x)² + (-2y)² + (4z)² - x × (-2y) - (-2y) × 4z - 4z × x
➻ (x - 2y + 4z) (x² + 4y² + 16z² + 2xy + 8yz - 4xz)
∴ The value of x³ - 8y³ + 64z³ + 24xyz is (x - 2y + 4z) (x² + 4y² + 16z² + 2xy + 8yz - 4xz)
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