Упростите выражения 5a + (a-4) - (2a-3) (X-4) (x-5) - 2x (x-6) (C^2-3a) (3a+c^2)

Упростим.

1) 5 * a + (a - 4) - (2 * a - 3);

Раскроем скобки.

5 * a + a - 4 - 2 * a + 3;

Приведем подобные.

(5 * a + a - 2 * a) + (-4 + 3) = a * (5 + 1 - 2) - 1 = a * (6 - 2) - 1 = a * 4 - 1 = 4 * a - 1;

2) (X - 4) * (x - 5) - 2 * x * (x - 6) = x^2 - 5 * x - 4 * x + 4 * 5 - 2 * x^2 + 2 * 6 * x = x^2 - 9 * x + 20 - 2 * x^2 + 12 * x = - x^2 + 3 * x + 20;

3) (C^2 - 3 * a) * (3 * a + c^2) = (c^2 - 3 * a) * (c^2 + 3 * a) = (c^2) ^2 - (3 * a) ^2 = c^4 - 9 * a^2.