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If one of the factor of x 2 - y2+ 2yz - x2 is ( x + y-z) then what is the other factor?
- a)(x + y – z)
- b)(x – y + z)
- c)(x + y + z)
- d)(x – y – z)
Correct answer is option 'B'. Can you explain this answer?
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The other factor can be found by dividing the given polynomial by (x - y + z):
(x^2 - y^2 + 2yz - x^2) / (x - y + z)
Simplifying this expression, we get:
= (-y^2 + 2yz) / (x - y + z)
= y(-y + 2z) / (x - y + z)
Therefore, the other factor is y - 2z.
(x^2 - y^2 + 2yz - x^2) / (x - y + z)
Simplifying this expression, we get:
= (-y^2 + 2yz) / (x - y + z)
= y(-y + 2z) / (x - y + z)
Therefore, the other factor is y - 2z.
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