Разложите на множители 1)5a^2-5b^2= 2)3m^2-3n^2= 3)a^3-a= 4)b^3-b= 5)7x^2-7y^2= 6)4m^3-4mn^2= 7)5x^2-20y^2= 8)a^b-ab^3=

Для разложения на множители используем формулу а^2 - b^2 = (a - b) * (a + b).

1) 5a^2 - 5b^2 = 5 * (a^2 - b^2) = 5 * (a - b) * (a + b).

2) 3m^2 - 3n^2 = 3 * (m^2 - n^2) = 3 * (m - n) * (m + n).

3) a^3 - a = a * (a^2 - 1) = a * (a - 1) * (a + 1).

4) b^3 - b = b * (b^2 - 1) = b * (b - 1) * (b + 1).

5) 7x^2 - 7y^2 = 7 * (x^2 - y^2) = 7 * (x - y) * (x + y).

6) 4m^3 - 4mn^2 = 4m * (m^2 - n^2) = 4m * (m - n) * (m + n).

7) 5x^2 - 20y^2 = 5 * (x^2 - 4y^2) = 5 * (x - 2y) * (x + 2y).

8) a^3b - ab^3 = ab * (a^2 - b^2) = ab * (a - b) * (a + b).