1) 2y^2-18 = 2)2x^2-12x+18= 3)64a-a^3= 4) x^3-10x^2+25x= 5) (3x+2)^2-(3x-1)^2= 6)8x^4y-xy^4= 7)

1) 2y^2 - 18 = 2 * (y^2 - 3^2) = 2(y - 3)(y + 3);

2) 2x^2 - 12x + 18 = 2 * (x^2 - 2 * 3 * x + 3^2) = 2(x - 3)^2;

3) 64a - a^3 = 4^3 - a^3 = (4 - a)(16 + 4a + a^2);

4) x^3 - 10x^2 + 25x = x * (x^2 - 10x + 25) = x(x - 5)^2;

5) (3x + 2)^2 - (3x - 1)^2 = 3(6x + 1);

6) 8 *x^4 * y - x* y^4 = xy(2x - y)(4x^2 + 2xy + y^2);

7) -3x - 12x - 12 = -3(x + 4x + 4);

8) 25y^5 - 3y^2 = y^2 * (25y^3 - 3);

9) 162b^3 - 2a^2b = 2b * (9b - a) * (9b + a);

10) 30x - 9x^3 - 70y + 49y^2 =3x * (10 - 3x^2) - 7y * (10 - 7y).