Question

Factorize the following expression (x + y)^2-3x-3y+2

Answer 1

Step-by-step explanation:

Now,

(x+y)

2

−3x−3y+2

=(x+y)

2

−3(x+y)+2

=(x+y)

2

−(x+y)−2(x+y)+2

=(x+y)(x+y−1)−2(x+y−1)

=(x+y−1)(x+y−2),

whichistherequired

factorization.