Factorise the following polynomial `14 (3 y - 5 z)^3 + 7 (3y - 5z)^2`

14(3y-5z)^(3)+7(3y-5z)^(2)

Factorize the following polynomials 15y^(2)z^(3)-20y6(3)z^(4)+35y^(2)z^(2)

Write down the degree of each of the following polynomials: x^(3)y^(2)z-3x^(2)y^(2)z^(2)+5xy^(4)z-y^(7)+x^(3)y^(5)+17z^(5)

Add the following: (i) x – 3y – 2z , 5x + 7y – 8z , 3x – 2y + 5z

Factorise: (5x - y) ^(3) + (y - 4z) ^(3) + (4z - 5x) ^(3)

Find the values of lambda if the following of lines perpendicular : (1-x)/(3) = (7y-14)/(3lambda)=(z+1)/(2) and (7-7x)/(3lambda) = y/1 = (1-z)/(5)

Find the values of x, y and z from the following equations: (i) [4 3x5]=[y z1 5] (ii) [x+y3 5+z x y]=[6 2 5 8] (iii) [x+y+z x+z y+z]=[9 5 7]

Factors of (2x - 3y) ^(3) + ( 3y - 5z) ^(3) + ( 5z - 2x) ^(3) are:

Using matrices, solve the following system of equations for x,y and z. 2x+y+z=1 , x-2y-z=(3)/(2) , 3y-5z=9 .