Question

ax – (ax + by )2 + a2 x + aby + by​

Answer 1

Answer:

(i)x−1−(x−1)2+ax−a

=(x−1)−(x−1)2+a(x−1)

=(x−1)[1−(x−1)+a ]

=(x−1)(1−x+1+a)

=(x−1)(2−x+a)

(ii)ax+a2x+aby+by−(ax+by)2

=(ax+by)+(a2x+aby)−(ax+by)2

=(ax+by)+a(ax+by)−(ax+by)2

=(ax+by)[1+a−(ax+by)]

=(ax+by)(1+a−ax−by)

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

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)