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= 10r^4 + 3p - 4r³ + 2r - 8p + pr - 10p
= 10r^4 - 4r³ + (3p - 8p - 10p) + 2r + pr
= 10r^4 - 4r³ - 15p + 2r + pr
2. 2a³ + 5ab² + 3a²b + b³ + 3a²b + a²b + b^4 + 2ab^4
= 2a³ + (3a²b + 3a²b + a²b) + 5ab² + b³ + b^4 + 2ab^4
= 2a³ + 7a²b + 5ab² + b³ + b^4 + 2ab^4
1. 3y² - 2x + 7 - ( x² - y² + 5) = 3y² - 2x + 7 - x² + y² - 5 = 4y² - x² - 2x + 2
2. 8a²bc + 6ab - 6bc² + 2a²bc - (2a²b - 8bc²) =
= 8a²bc + 6ab - 6bc² + 2a²bc - 2a²b + 8bc²
= (8a²bc + 2a²bc) + (-6bc² + 8bc²) + 6ab - 2a²b
= 10a²bc + 2bc² + 6ab - 2a²b
3. 8xy - 7xy² + 6x - ( 8xy² - 8x + 3xy)
= 8xy - 7xy² + 6x - 8xy² + 8x - 3xy
= ( -7xy² - 8xy²) + (6x + 8x) + (8xy - 3xy)
= -15xy² + 14x + 5xy
4. 120mn + 15m²n - 20n - ( 15mn - 3m²)
= 120mn + 15m²n - 20n - 15mn + 3m²
= 15m²n + (120mn - 15mn) + 3m² - 20n
= 15m²n + 105mn + 3m² - 20n