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18. Add the expressions 4x² +3xy +9y² and 2x² - 9 xy +6y² and find the degree. |
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Answer» Question 18:What should be subtracted from x2 − xy + y2 −X + y + 3 to obtain −x2 + 3y2 − 4xy + 1?ANSWER:Let 'M' be the required expression. Then, we havex2 - xy + y2 - x + y + 3 - M = - x2 + 3y2 - 4xy + 1Therefore,M = (x2 - xy + y2 - x + y + 3) - (- x2 + 3y2 - 4xy + 1) = x2 - xy + y2 - x + y + 3 + x2 - 3y2 + 4xy - 1Collecting positive and NEGATIVE like TERMS together, we getx2 + x2- xy + 4xy + y2- 3y2 - x + y + 3 - 1= 2x2 + 3xy- 2y2- x + y + 2 |
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