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)`

Multiply each of the monomial: (-3x^(2)y),(4xy^(2)z),(-xy^(2)z^(2)) and ((4)/(5)z)

Simplify: (15x^(5)y^(-2)z^(4))/(5x^(3)y^(-3)z^(2))

Simplify each of the following: m-[m+{m+n-2m-(m-2n)}-n] 3x^2z-4y z+3x y-{x^2z-(x^2z-3y z)-4y z-7z}

Prove the following : |{:(x,y,z),(x^(2),y^(2),z^(2)),(x^(3),y^(3),z^(3)):}|=|{:(x,x^(2),x^(3)),(y,y^(2),y^(3)),(z,z^(2),z^(3)):}|=xyz(x-y)(y-z)(z-x)

Subtract: (3)/(2)x-(5)/(4)y-(7)/(2)z om (2)/(3)x+(3)/(2)y-(4)/(3)z

Let x,y,z be real numbers satisfying x+y+z=3,x^(2)+y^(2)+z^(2)=5 and x^(3)+y^(3)+z^(3)=7 then the value of x^(4)+y^(4)+z^(4) is

If x = 1, y = 2 and z = 5, find the value of (i) 3x - 2y + 4z (ii) x^(2) + y^(2) + z^(2) (iii) 2x^(2) - 3y^(2) + z^(3) (iv) xy + yz - zx (v) 2x^(2) y - 5yz + xy^(2) (vi) x^(3) - y^(3) - z^(3)