Question

factorise : (a²-a-2)x²-(3x+1)​

Answer 1

Answer:

$factorise \: ( {a}^{2} - a - 2) \\ {a}^{2} - (2 - 1)a - 2 \\ {a}^{2} - 2a + a - 2 \\ a(a - 2) + 1(a - 2) \\ (a - 2)(a + 1) \\ now \: .... \\ (a - 2)(a + 1) {x}^{2} - 3x - 1 \\ (a - 2)(a + 1) {x}^{2} - {(a + 1) - (a - 2)}x - 1 \\ (a - 2)(a + 1) {x}^{2} - (a + 1)x + (a - 2)x - 1 \\ (a + 1)x \: \: \: ((a - 2)x\: - 1) \: + 1((a - 2)x - 1) \\ ((a - 2)x - 1) \: \: \: ((a + 1)x + 1)$

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