plz solve this problem using suitable identity
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plz solve this problem using suitable identity
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Answer:
Given :-
➪ x² - y² + 6y - 9
Solution :-
➪ x² - y² + 6y - 9
➭ x² - (y² - 6y + 9)
➭ x² - {(y)² - 2 × y × 3 + (3)²}
➭ x² - (y - 3)²
➭ {(x)² - (y - 3)²}
➭ (x + y - 3) (x - y + 3)
∴ The value of x² - y² + 6y - 9 is
(x + y - 3) (x - y + 3)
Formula used :-
➪ a² - b²
➭ (a + b) (a - b)
➪ (a - b)²
➭ a² - 2ab + b²