factorise: ax+a²x+aby+by-(ax+by)²
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Solution :
ax - (ax + by)² + a²x + aby + by
➡ (ax + a²x) + (aby + by) - (ax + by)²
➡ ax(1 + a) + by(a + 1) - (ax + by)²
➡ (1 + a)(ax + by) - (ax + by)²
➡ (ax + by) [1 + a - (ax + by)]
➡ (ax + by)(1 + a - ax - by)
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