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Factorize completely: \(x^2 - (y + z)^2\)

Mathematics
WAEC 2023

Factorize completely: \(x^2 - (y + z)^2\)

  • A. (x - y - z)(x - y - z)
  • B. (x + y + z)(x - y - z)
  • C. (x + y + z)(x + y - z)
  • D. (x + y - z)(x - y + z)
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Correct Answer: Option B
Explanation

\(x^2 - (y + z)^2\)

Using difference of two squares (\(a^2 - b^2 = (a + b)(a - b)|)
⇒ (x + (y + z))(x - (y + z))
⇒ (x + y + z)(x - y - z)


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WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free