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Factorise: 6x\(^2\) + 7xy - 5y\(^2\)

Mathematics
WAEC 1994

Factorise: 6x\(^2\) + 7xy - 5y\(^2\)

  • A. (6x + 5y)(x - y)
  • B. (2x + 5y)(3x - y)
  • C. (3x + y)(2x - 5y)
  • D. (3x + 5y)(2x - y)
  • E. (2x + y)(3x - 5y)
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Correct Answer: Option D
Explanation

\(6x^2 + 7xy - 5y^2\)

= \(6x^2 + 10xy - 3xy - 5y^2\)

= \(2x(3x + 5y) - y(3x + 5y)\)

= \((2x - y)(3x + 5y)\)

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