Divide the given polynomial by the given monomial: `8(x^3y^2z^2 +x^2y^3z^2+x^2y^2z^3):-4x^2y^2z^2`

Find the common factors of the given terms 3x^2y^3 , 10x^3y^2 , x^2y^2z .

Solve by matrix method: 4x+3y+2z=60, x+2y+3z=45, 6x+2y+3z=70

Find the vaoue of each of the folllowing polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1 (vii) q (z) = 5z ^(3) - 4z + sqrt2 at z =2

Identify the terms,their coefficients for each of the following expressions: 4x^2 y^2 - 4 x^2 y^2 z^2 + z^2

Solve by matrix method: x+y+z=6 x-2y+3z=6 x-y+z=2

Find the centre and radius of the sphere 2x^2+2y^2+2z^2-2x-4y+2z+3=0 .

Solve the following system of equations by matrix method. x+y+z=6 y+3z=11 x-2y+z=0

Expand each of the following , using suitable identities : (i) (x+2y+4z)^2 (ii) (2x-y+z)^2 (iii) (-2x+3y+2z)^2 (iv) (3a-7b-c)^2 (v) (-2x+5y-3z)^2 (vi) (1/4a-1/2b+1)^2

Solve the following system of linear equations by matrix method. 3x-2y+3z=8 2x+y-z=1 4x-3y+2z=4

Solve by matrix Method: x+2y+3z=2 2x+3y+z=-1 x-y-z=-2