Question

35. One of the factors of x² + y2 + 2xy - 2+ is
(a) (x - y + z)
(b) (x + y - 2)
(c)(- x - y +z) (d) (- x + y - 2)​

Answer 1

Step-by-step explanation:

Answer

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(x2−2xy+y2)−z2

 ⇒[x(x−y)−y(x−y)]−z2 

⇒(x−y)(x−y)−z2 

⇒(x−y)2−z2

 ⇒[(x−y)+z][(x−y)−z] 

⇒(x−y+z)(x−y−z)

Answer 2

Step-by-step explanation:

(x2-2xy+y2)-y2

{x(xy)-y(x-y)-z2

(x-y)(x-y)-z2

(x-y)2-z2

(x-y)+z(x-y)-z

(x-y+z)(x-y-z)