Question

Запишите вырожжение в виде многочелена: 1) (5-a)(a²+5a+25); 2) (2m-5n)(4m²+10mn+25n²); 3) (7p+q)(49p²-7pq+q²); 4) (1/2x-1/3y)(1/4x²+1/6xy+1/9y²).

Answer 1

5
(5-a)(a+5)^2
(2m-5n)(2m+5)^2
(

Answer 2

1) (5-a)(a²+5a+25) = 5a² + 25a - a³ - 5a² - 25a = -a³

2) (2m-5n)(4m²+10mn+25n²) = 8m³ + 20m²n - 20m²n - 50mn² - 100m²n + 250mn² + 125n³ = 8m³ - 150mn² + 125n³

3) (7p+q)(49p²-7pq+q²) = 343p³ + 49p²q + 7pq² + 49p²q - 7pq² + q³ = 343p³ + 98p²q - 7pq² + q³

4) (1/2x-1/3y)(1/4x²+1/6xy+1/9y²) = (1/8)x³ - (1/12)x²y + (1/12)x²y - (1/18)xy² + (1/18)xy² - (1/27)y³ = (1/8)x³ - (1/27)y³