Задание 57. Выполните умножение многочлена на многочлен: 1) (5+m)(a+b) = ? 2) (4+k)(m-n) = ? 3) (a-2)(p-1) = ? 4) (n-3)(k+b) = ? 5) (b+7)(b+5) = ? 6) (a+3)(a-12) = ? 7) (x+1)(2x-3) = ? 8) (p-4)(6p-q) = ? 9) (6n-2)(4k-5) = ? 10) (10a-2)(-6k+3) = ?

Решение задания 57: 1) (5+m)(a+b) = 5a + 5b + ma + mb 2) (4+k)(m-n) = 4m - 4n + km - kn 3) (a-2)(p-1) = ap - a - 2p + 2 4) (n-3)(k+b) = nk + nb - 3k - 3b 5) (b+7)(b+5) = b^2 + 5b + 7b + 35 = b^2 + 12b + 35 6) (a+3)(a-12) = a^2 - 12a + 3a - 36 = a^2 - 9a - 36 7) (x+1)(2x-3) = 2x^2 - 3x + 2x - 3 = 2x^2 - x - 3 8) (p-4)(6p-q) = 6p^2 - pq - 24p + 4q 9) (6n-2)(4k-5) = 24nk - 30n - 8k + 10 10) (10a-2)(-6k+3) = -60ak + 30a + 12k - 6