plz ans this problem in brief using suitable identity
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Given :-
➪ (p + q)³ - p - q
Solution :-
➪ (p + q)³ - p - q
➭ (p + q)³ - (p + q)
➭ (p + q) {(p + q)² - 1} [ Taking (p + q) common ]
➭ (p + q) (p + q)² - (1)²
➭ (p + q) (p + q + 1) (p + q - 1)
∴ The value of (p + q)³ - p - q is
(p + q) (p + q + 1) (p + q - 1)
Formula used :-
➪ a² - b²
➭ (a + b) (a - b)
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