Question

Factorise- (x+y)²-3x-3y+2​

Answer 1

Answer:

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Answer 2

Answer: (x + y - 1) (x + y - 2)

Step by step explanation:

Given:

$\tt{(x + y)}^{2} - 3x - 3y + 2 \\ \\ = \tt{(x + y)}^{2} - 3(x + y) + 2$

$\tt= {(x + y)}^{2} -(x + y) - 2(x + y) + 2 \\ \\ \tt= (x + y)(x + y - 1) - 2(x + y - 1) \\ \\ \tt = (x + y - 1)(x + y - 2)$

Thus, (x + y - 1) (x + y - 2) is the answer.