Раскройте скобки:
a) (a - b)(a² + ab +b²)
б) (x² + 2xy + y²)(x - y)
Помогите пожалуйста!
a) (a - b)(a² + ab +b²)
б) (x² + 2xy + y²)(x - y)
Помогите пожалуйста!
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Verified answer
A) (a - b)(a² + ab +b²)= a³ - a²b + a²b - ab² + ab² - b³ = a³ - b³
б) (x² + 2xy + y²)(x - y) +
= x³ + 2x²y + xy² - x²y - 2xy² - y³ =
= x³ + x²y - xy² - y³
Или
(x² + 2xy + y²)(x - y) =
= (х+у)(х+у)(х-у) = х
= (х+у)(x² - у²) =
= x³ + x²y - xy² - y³