Question

26. 9a2 - (a2 - 4)2 factorise​

Answer 1

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Answer 2

Answer:

Question :-

➠ 9a² - (a² - 4)²

Formula used :-

➪ a² - b²

➭ (a + b) (a - b)

Answer :-

➠ 9a² - (a² - 4)²

➻ (3a)² - (a² - 4)²

➻ {3a + (a² - 4)} {3a - (a² - 4)}

➻ (3a + a² - 4) (3a - a² + 4)

➻ (a² + 3a - 4) (-a² + 3a + 4)

➻ (a² + 4a - a - 4) (-a² + 4a - a - 4)

➻ {a(a + 4) - 1(a + 4)} {a(-a + 4) + 1(-a + 4)}

➻ (a + 4) (a - 1) (a + 1) (4 - a)

∴ The value of 9a² - (a² - 4)² is (a + 4) (a - 1) (a + 1) (4 - a)