At the end of the year 2016, the population of villages Kovad, Varud, Chikhali is 5x²-3y²,7y²+2xy and 9x²+4xy respectively. At the beginning of the year 2017,x²+xy-y²,5xy and 3x²+xy persons from each of the three villages respectively went to another village for education then what is the remaining total population of these three villages ?
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Answer:
10x² + 5y² - xy
Step-by-step explanation:
At the end of the year 2016
population of villages Kovad = 5x²-3y²
At the beginning of the year 2017
Person Left = x²+xy-y²
remaining population of Kovad = 5x²-3y² - (x²+xy-y²)
= 4x² - 2y² - xy
At the end of the year 2016
population of villages Varud = 7y²+2xy
At the beginning of the year 2017
Person Left = 5xy
remaining population of Varud = 7y²+2xy - (5xy)
= 7y² - 3xy
At the end of the year 2016
population of villages chikhali = 9x²+4xy
At the beginning of the year 2017
Person Left = 3x²+xy
remaining population of chikhali = 9x²+4xy - (3x²+xy)
= 6x² + 3xy
total population of these three villages = 4x² - 2y² - xy + 7y² - 3xy + 6x² + 3xy
= 10x² + 5y² - xy
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