from the sum of m²-2n² and 4m²-9n²+15 subtract the sum of 6m²-5n²+5 and m²-4n²+20
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Sum
= m² - 2n² + 4m² - 9n² + 15
= m² + 4m² - 2n² - 9n² + 15
= 5m² - 11n² + 15
Sum
= 6m² - 5n² + 5 + m² - 4n² + 20
= 6m² + m² - 5n² - 4n² + 20 + 5
= 7m² - 9n² + 25
Subtracting
5m² - 11n² + 15 - (7m² - 9n² + 25)
= 5m² - 11n² + 15 - 7m² + 9n² - 25
= 5m² - 7m² - 11n² + 9n² - 25 + 15
= (-2m²) - 2n² - 10
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