Identify the like terms in each of the following: (i) `-2x^2y\ ,\ x^2z ,\ -y x^2,\ x^2y^2` (ii)`c a b^2,\ a^2b c ,\ b^2a c ,\ c^2a b ,\ a b^2c ,\ a b c ,\ a c b^2`

Identify the terms, their coefficients for each of the following expressions: 3x^2y^2-5x^2y^2z^2+z^2 (ii) 9-a b+b c-c a

Identify the like terms and also mention the numerical coefficients of those terms: (i) 4x y ,\ -5x^2y ,\ -3y x ,\ 2x y^2 (ii) 7a^2b c ,\ -3c a^2b ,\ -5/2a b c^2,3/2a b c^2,-4/3c b a^2

Identify the like terms in the following algebraic expressions: (i) a^2+b^2-2a^2+c^2+4a (ii) 3x+4x y-2y z+5/2z y (iii) a b c+a b^2c+2a c b^2+3c^2a b+b^2a c-2a^2b c+3c a b^2

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

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

Evaluate each of the following algebraic expressions for x=1,\ y=-1, z=2,\ a=-2,\ b=1,\ c=-2: (i) a x+b y+c z (ii) a x^2+b y^2-c z^2 (iii) a x y+b y z+c x y

Evaluate each of the following algebraic expressions for x=1,\ y=-1, z=2,\ a=-2,\ b=1,\ c=-2: (i) a x+b y+c z (ii) a x^2+b y^2-c z^2 (iii) a x y+b y z+c x 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

Multiply : 3a b^2c^3\ b y\ 5a^3b^2c (ii) 4x^2y z\ b y-3/2x^2y z^2

Show that |a b c a+2x b+2y c+2z x y z|=0