5(3-5а)²-5(3а-7)(3а+7)(а+1)²+3(а-1)²-5(а+1)(а-1)(m-1)²-4(m+1)²-6(m+1)(m-1)5(1-y)²(3+y)²-3(1-y)(1+y)5(1-+m)(1-m)-(2-m)³-8(1-m)Докажите , что:80³-50³ делиться на 30075³+65³ делиться на 700 87³+32³ делиться на 11984³+24³ делиться на 1944

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80³ - 50³ = (80 - 50)(80² + 8050 + 50²) = 30 (6400 + 4000 + 2500) = 90 12900 = 1170 108 * 5

30075³ + 65³ = (30075 + 65)(30075² - 3007565 + 65²) = 30140 (902812500 - 1954875 + 4225) = 30140 900000000 = 3014 9 10⁹ = 3014 3 3 5 2 2 (3 5 2 5)³

Since both of the above expressions are divisible by 300, they are also divisible by 300.

87³ + 32³ = (87 + 32)(87² - 8732 + 32²) = 119 (7569 - 2784 + 1024) = 119 5810 = 119 2 5 3 * 97

700 is not a factor of either expression, so they are not divisible by 700.

84³ + 24³ = (84 + 24)(84² - 8424 + 24²) = 108 (7056 - 2016 + 576) = 108 5472 = 108 2 2 2 2 2 3 11

1944 is not a factor of 5472, so the expression is not divisible by 1944.