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Factorise: 6x\(^2\) + 7xy – 5y\(^2\)

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Mathematics WAEC 1994

Factorise: 6x\(^2\) + 7xy – 5y\(^2\)

  • (6x + 5y)(x - y)
  • (2x + 5y)(3x - y)
  • (3x + y)(2x - 5y)
  • (3x + 5y)(2x - y) checkmark
  • (2x + y)(3x - 5y)

The correct answer is: 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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