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Simplify the expression (x + y + z)(x + y – z).
  • a)
    x² + y² – z² + 2xy
  • b)
    x² + y² + z² + 2xy
  • c)
    x² – y² – z² + 2xy
  • d)
    x² + y² + z² – 2xy
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Simplify the expression (x + y + z)(x + y – z).a)x² + y&sup...
To simplify (x + y + z)(x + y - z), notice that the expression is of the form (A + z)(A - z) where A = (x + y). This product equals A² - z².
Now, compute A²
A² = (x + y)² = x² + 2xy + y²
Subtract z²: x² + 2xy + y² - z²
This matches option (a).
Answer: a) x² + y² – z² + 2xy
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Simplify the expression (x + y + z)(x + y – z).a)x² + y² – z² + 2xyb)x² + y² + z² + 2xyc)x² – y² – z² + 2xyd)x² + y² + z² – 2xyCorrect answer is option 'A'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Simplify the expression (x + y + z)(x + y – z).a)x² + y² – z² + 2xyb)x² + y² + z² + 2xyc)x² – y² – z² + 2xyd)x² + y² + z² – 2xyCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify the expression (x + y + z)(x + y – z).a)x² + y² – z² + 2xyb)x² + y² + z² + 2xyc)x² – y² – z² + 2xyd)x² + y² + z² – 2xyCorrect answer is option 'A'. Can you explain this answer?.
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