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Question

Let A=3y2+9x3x2,B=6x22y2+3x,C=9x23xyy2. Find A + B - C.
  1. 6x23xy12x+2y2
  2. 3x2+3xy12x+2y2
  3. 6x2+3xy+12x+2y2
  4. 2x2+xy+4x+y2


Solution

The correct option is C 6x2+3xy+12x+2y2
Given:
A=3y2+9x3x2
B=6x22y2+3x
C=9x23xyy2
 A+B=(3y2+9x3x2)+(6x22y2+3x)
(Grouping the like terms together)
=(3y22y2)+(9x+3x)+(3x2+6x2)
=y2+12x+3x2

Now subtracting C from (A+B),
(A+B)C=(y2+12x+3x2)(9x23xyy2)
=y2+12x+3x29x2+3xy+y2
(Grouping the like terms together)
=(y2+y2)+(3x29x2)+(3xy)+(12x)
=2y26x2+3xy+12x

On rearranging the terms we get,
A+BC=6x2+3xy+12x+2y2

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