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Question

If m=9x2āˆ’4xy+5y2 and n=āˆ’3x2+2xyāˆ’y2,
find: (ii) š‘š+2š‘›

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Solution

Step: Putting the value of m and n in required equation m=9x2āˆ’4xy+5y2
and n=āˆ’3x2+2xyāˆ’y2
Then, 2n=2[āˆ’3x2+2xyāˆ’y2]
=āˆ’6x2+4xyāˆ’2y2
ā‡’m+2n=9x2āˆ’4xy+5y2+(āˆ’6x2+4xyāˆ’2y2)
=9x2āˆ’6x2āˆ’4xy+4xy+5y2āˆ’2y2
=3x2+3y2
Hence, the answer is 3x2+3y2.

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