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