x³– y³+ 1 + 3xy
please factorize this and help me
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Question :-
➠ x³ - y³ + 1 + 3xy
Formula used :-
a³ + b³ + c³ - 3abc
(a + b + c) (a² + b² + c² - ab - bc - ac)
Answer :-
➠ x³ - y³ + 1 + 3xy
➻ (x)³ + (-y)³ + (1)³ - 3 × (x) × (-y) × (1)
➻ (x - y + 1) {(x)² + (-y)² + (1)² - x × (-y) - (-y) × 1 - x × 1}
➻ (x - y + 1) (x² + y² + 1 + xy + y - x)
∴ The value of x³ - y³ + 1 + 3xy is (x - y + 1) (x² + y² + 1 + xy + y - x)
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