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Question
Subtract the following expressions:
x3y2 + 3x2y2 – 7xy3 from x4 + y4 + 3x2y2 – xy3
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Solution
We have, x4 + y4 + 3x2y2 – xy3 – (x3y3 + 3x2y2 – 7xy3)
= x4 + y4 + 3x2y2 – xy3 – x3y3 – 3x2y2 + 7xy3
On combining the like terms,
= x4 + y4 + 3x2y2 – 3x2y2 – xy3 + 7xy3 – x3y3
= x4 + y4 + 6xy3 – x3y3
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