Question

144a^2-(a^2+32)^2 factorise this​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Question :-

➠ 144a² - (a² + 32)²

Formula used :-

➔ a² - b²

➙ (a + b) (a - b)

Answer :-

➠ 144a² - (a² + 32)²

➪ (12a)² - (a² + 32)²

➪ (12a - a² - 32) (12a + a² + 32)

➪(- a² + 12a - 32) (a² + 12a + 32)

➪ - (a² - 12a + 32) (a² + 12a + 32)

➪ - {a² - (8 + 4)a + 32} {a² + (8 + 4)a + 32}

➪ - {a² - 8a - 4a + 32} {a² + 8a + 4a + 32}

➪ - {a(a -8) - 4(a - 8)} {a(a + 8) + 4(a + 8)}

➪ - {(a - 8) (a - 4)} {(a + 8) (a + 4)}

➪ - (a - 8) (a - 4) (a + 8) (a + 4)

∴ The value of 144a² - (a² + 32)² is - (a - 8) (a - 4) (a + 8) (a + 4)