Factorise: x3 - x2 + ax + x - a - 1 - Vidyadip

Question

Factorise:
x³ - x² + ax + x - a - 1

✓

Answer

x³ - x² + ax + x - a - 1
= x³ - x² + ax - a + x - 1
= x²(x - 1) + a(x - 1) + 1(x - 1)
= (x - 1)(x² + a + 1)

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