Разложите на множители: 1) ах+ау+аz 2) х^4+х^3-х^2 3) -ах-bx-сх 4) а(х^2+у^2)+b(х^2+у^2)

1) ax + ay + az = a * (x + y + z);

2) x^4 + x^3 - x^2 = x^2 * (x^2 + x - 1);

3) -ax - bx - cx = x * (-a - b - c);

4) a * (x^2 + y^2) + b * (x^2 + y^2) = (x^2 + y^2) * (a + b);

5) a^2 * (x - y) - ab * (x - y) + b^2 * (x - y) = (x - y) * (a^2 - ab + b^2) = (x - y) * (a - b)^2 = (x - y) * (a - b) * (a - b);

6) ax + bx + ay + by = x * (a + b) + y * (a + b) = (x + y) * (a + b);

7) ax + bx - ay - by = x * (a + b) - y * (a + b) = (a + b) * (x - y);

8) 12n^3 + n^2 - n - 12 = 12n^3 - 12 + n^2 - n = 12 * (n^3 - 1) + n * (n - 1) = 12 * (n - 1) * (n^2 + n + 1) + n * (n - 1) = (n - 1) * (12 * (n^2 + n + 1) + n).