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Question

Expand (3x2y+4)(3x2y4)
  1. 9x212xy+4y216
  2. 9x2+12xy+4y2+16
  3. 27x212xy+4y29
  4. 27x212xy+4y216


Solution

The correct option is A 9x212xy+4y216
[(3x2y)+4][(3x2y)4]

Taking 3x - 2y = a

= (a + 4)(a - 4)

= a216         .......[ (a + 4)(a - 4) = a242]

= (3x2y)216

= (3x)22×3x×2y+(2y)216

= 9x212xy+4y216

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