Divide: `35 a^2+32 a-99\ b y\ 7a-9` `a x^2+(b+a c)x+b c\ b y\ x+c`

Divide: 35a^(2)+32a-99by7a-9ax^(2)+(b+ac)x+bcbyx+c

Divide: x^4-y^4b y\ x^2-y^2 (ii) a c x^2+\ (b c+a d)x+b d\ b y\ (a x+b)

Divide: 6x^3y^2z^2\ \ by \ \ 3x^2y z (2) 15 m^2n^(3\ ) by \ 5m^2n^2 (3) 24 a^3b^3\ by -8a b (4) -21\ a b c^2 by \ 7a b c

Factorize: a x+b x+a y+b y , a x^2+b y^2+b x^2+a y^2 , a^2+b c+a b+a c , a x-a y+b x-b y

Factorize: a x+b x+a y+b y +a x^2+b y^2+b x^2+a y^2 a^2+b c+a b+a c + a x-a y+b x-b y

Prove that |a x-b y-c z a y+b x c x+a z a y+b x b y-c z-a x b z+c y c x+a z b z+c y c z-a x-b y|=(x^2+y^2+z^2)(a^2+b^2+c^2)(a x+b y+c z)dot

Prove that |a x-b y-c z a y+b x c x+a z a y+b x b y-c z-a x b z+c y c x+a z b z+c y c z-a x-b y|=(x^2+y^2+z^2)(a^2+b^2+c^2)(a x+b y+c z)dot

Add the following: i) 7a b c ,\ -5a b c ,\ 9a b c ,\ -8a b c ii)2x^2y ,\ -4x^2y ,\ 6x^2y ,\ -5x^2y

Prove that: |a b a x+b y b c b x+c y a x+b y b x+c y0|=(b^2-a c)(a x^2+2b x y+c y^2) .

Prove that |[a x-b y-c z, a y+b x, c x+a z], [a y+b x, b y-c z-a x, b z+c y],[c x+a z, b z+c y, c z-a x-b y]|=(x^2+y^2+z^2)(a^2+b^2+c^2)(a x+b y+c z)dot