Question

42. x² + 3x – (a² +a - 2) = 0​

Answer 1

Step-by-step explanation:

{x}^{2} + 3x - ( {a}^{2} + a - 2) \\ {x}^{2} + 3x - ( {a }^{2} + (2 - 1)a - 2) \\ {x }^{2} + 3x - ({a}^{2} + 2a - a - 2) \\ {x }^{2} + 3x - ( a(a + 2) - 1(a + 2)) \\ {x }^{2} + 3x - (a - 1)(a + 2) \\ {x}^{2} +( (a + 2) - (a - 1))x - (a - 1)(a + 2) \\ {x}^{2} + (a + 2)x - (a - 1)x - (a - 1)(a - 2) \\ x(x + a + 2) - (a - 1)(x + a + 2) \\ (x - a + 1)(x + a + 2)

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