35. One of the factors of x^2 + y^2 + 2xy - Z^2 is (a) (x - y + z) (b) (x + y - z) (c)(-x-y+z) (d) (- x + y - z)
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Answer:
x
2
−2xy+y
2
)−z
2
⇒[x(x−y)−y(x−y)]−z
2
⇒(x−y)(x−y)−z
2
⇒(x−y)
2
−z
2
⇒[(x−y)+z][(x−y)−z]
⇒(x−y+z)(x−y−z)
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