Question

686, Спростіть вираз: 1) (a-5) (a² +5а +25)-(a-1) (a²+a+1); +1) (a¹ +1). 2) (y-3) (y²+3y+9) - y(y-3) (y+3)-(y+3)²; 3) (a-b)(a+b) (a² +a²b² + b4).​

Answer 1

1) (a-5)(a²+5a+25) - (a-1)(a²+a+1) + (a+1) = a³ - 20a + 31
2) (y-3)(y²+3y+9) - y(y-3)(y+3) - (y+3)² = -6y - 27

3) (a-b)(a+b)(a²+a²b²+b⁴) = (a² - b²)(a² + a²b² + b⁴) = a⁴ - b⁴