(u + v)2 + 2(u + v) - 3 factorise completely
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Step-by-step explanation:
(u + v)² + 2(u + v) - 3
Let ( u + v) be x
Therefore, the given expression become
x² + 2x - 3
= x² +(3 - 1)x - 3
=x² + 3x - x - 3
=x(x + 3) - 1(x + 3)
=(x + 3)(x - 1)
Now, putting the value of x,
We get,
= (u + v + 3)(u + v - 1)
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