Factorise - 4a2 - 9b2 - 2a - 3b
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{- [(2a)^2 + (3b) ^2] } - [(2a + 3b)
(2a+ 3b) ( - (2a + 3b) -1)
(2a+ 3b) ( - (2a + 3b) -1)
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Answer:
Question :-
➠ 4a² - 9b² - 2a - 3b
Formula used :-
➪ a² - b²
➭ (a + b) (a - b)
Answer :-
➠ 4a² - 9b² - 2a - 3b
➻ (2a)² - (3b)² - (2a + 3b)
➻ (2a + 3b) (2a - 3b) - (2a + 3b)
➻ (2a + 3b) {(2a - 3b) - 1} [Taking (2a + 3b) common]
➻ (2a + 3b) (2a - 3b - 1)
∴ The value of 4a² - 9b² - 2a - 3b is (2a + 3b) (2a - 3b - 1)
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