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Factorize the expression 2s\(^2\) - 3st - 2t\(^2\).

Mathematics
WAEC 1993

Factorize the expression 2s\(^2\) - 3st - 2t\(^2\).

  • A. (2s - t)(s + 2t)
  • B. (2s + t)(s - 2t)
  • C. (s + t)(2s - 1)
  • D. (2s + t)(s -t)
  • E. (2s + t)(s + 2t)
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Correct Answer: Option B
Explanation

2s\(^2\) - 3st - 2t\(^2\)

= 2s\(^2\) - 4st + st - 2t\(^2\)

= 2s(s - 2t) + t(s - 2t)

= (2s + t)(s - 2t)

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