1)) заполните пропуски в тождестве: а) -3x²y²+12x²-6x³=3x²(....) б) -3x²y²+12x²-6x³=6x(...) в) -3x²y²+12x²-6x³=-3x(...)

1) а) -3x^2y^2 + 12x^2 - 6x^3 = 3x^2(-y^2 + 4 - 2x);

б) -3x^2y^2 + 12x^2 - 6x^3 = 6x(-1/2 xy^2 + 2x - 2x^2);

в) -3x^2y^2 + 12x^2 - 6x^3 = -3x(xy^2 - 4x + 2x^2);

г) -3x^2y^2 + 12x^2 - 6x^3 = -x^2(3y^2 - 12 + 6x).

2) а) x^2y - z^2x + y^2x - z^2y = (x^2y + y^2x) - (z^2x + z^2y) = xy(x + y) - z^2(x + y) = (x + y)(xy - z^2);

б) 24bx - 15c^2 + 40bc - 9cx = 24bx + 40bc - 15c^2 - 9cx = 8b(3x + 5c) - 3c(5c + 3x) = (3x + 5c)(8b - 3c);

в) x^3 - x^2z - 4xz^2 + 4z^3 = x^2(x - z) - 4z^2(x - z) = (x - z)(x^2 - 4z^2).