Factorise :
a2+b−ab−aa^2 + b - ab - aa2+b−ab−a
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a2+b−ab−a=a2−ab−a+b=a(a−b)−1(a−b)=(a−b)(a−1)a^2 + b - ab - a\\[1em] = a^2 - ab - a + b\\[1em] = a(a - b) - 1(a - b)\\[1em] = (a - b)(a - 1)a2+b−ab−a=a2−ab−a+b=a(a−b)−1(a−b)=(a−b)(a−1)
Hence, a2+b−ab−a=(a−b)(a−1)a^2 + b - ab - a = (a - b)(a - 1)a2+b−ab−a=(a−b)(a−1).
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