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

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

Multiply : -8/5x^2y z^3\ b y\ -3/4x y^2z (ii) 3/(14)x^2y \ by\ 7/2x^4y

Multiply: (i) (2x^2-1)b y\ (4x^3+5x^2) (ii) (2x y+3y^2)(3y^2-2)

Factorize each of the following expressions: (a) 2p(a-b)+3q\ (5a-5b)+4r(2b-2a) (b) a b(a^2+b^2-c^2)+b c(a^2+b^2-c^2)-c a(a^2+b^2-c^2) (c) x(x^2+y^2-z^2)+y(-x^2-y^2+z^2)-z\ (x^2+y^2-z^2)

Multiply each of the monomial : 3/4x^2y z^2,\ 0. 5 x y^2z^2,\ 1. 16 x^2y z^3,\ 2x y z

Factorize each of the following expressions: x a^2+x b^2-y a^2-y b^2 (2) x^2+x y a+x z+y z (3) 2a x+b x+2a y+b y (4) a b-b y-a y+y^2

If a ,\ b ,\ c >0\ a n d\ x ,\ y ,\ z in R , then the determinant |\ \ (a^x+a^x)^2(a^x-a^(-x))^2 1(b^y+b^(-y))^2(b^y-b^(-y))^2 1(c^z+c^(-z))^2(c^z-c^(-z))^2 1| is equal to- a. a^x b^y c^x b. a^(-x)b^(-y)c^(-z)\ c. a^(2x)b^(2y)c^(2x) d. zero

Factorize the following : (1) 9x^2y+3a x y (2) 16 m-4m^2 (3) -4a^2+4a b-4c a (4) x^2y z+x y^2z+x y z^2 (5) a x^2y+b x y^2+c x y z

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

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