1.

Factorise the above equation:(The answer must be : (ax+by)(a+1-ax-by)​

Answer»

Step-by-step EXPLANATION:

Given : ax + a²x + ABY + by - (ax + by)²

Rearranging the terms, we get

→ ax + by + a²x + aby - (ax + by)²

→ (ax + by) + a²x + aby - (ax + by)²

TAKING COMMON terms out from a²x + aby, we get

→ (ax + by) + a(ax + by) - (ax + by)²

Now, taking out (ax + by) as common, we get

→ (ax + by) [1 + a - (ax + by)]

On further solving, we get

→ (ax + by)(1 + a - ax - by)


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