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Question

Factorise the expression:  50x318xy2 
  1. 2x(5x+3y)(5x+3y)
  2. 2x(5x-3y)(5x-3y)
  3. 2x(5x-3y)(5x+3y)
  4. 3x(5x-3y)(5x+3y)


Solution

The correct option is C 2x(5x-3y)(5x+3y)
The given expression is 50x318xy2
Taking 2x common we get
= 2x(25x29y2)
2x[(5x)2(3y)2]
2x(5x3y)(5x+3y)
[Using a2b2=(a+b)(ab)]
2x(5x3y)(5x+3y)

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