Question
3x + 23x2 + 6y2 + 2x + y2 + ____________ = 5x + 7y2.

Answer

3x + 23x2 + 6y2 + 2x + y2 + M = 5x + 7y2.
Solution:
Let (3x + 23x2 + 6y+ 2x + y2) + M = 5x + 7y2
⇒ M = (5x + 7y2) - (3x + 23x2 + 6y+ 2x + y2)
⇒ M = 5x + 7y- 3x - 23x– 6y2 - 2x - y2
⇒ M = 5x - 3x - 2x + 7y- 6y- y2 - 23x2
M = 0 + 0 - 23x2 = -23x2
[with - ve sign, + ve sign in the bracket will change on opening it]

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