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

Factorize the following polynomials 36y^(3)z+48y^(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)

28yz -21y^(3)z^(4) +35y^(2)z^(2) = ______

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

Solve the following equations: x+y+z=a ,x^(2)+y^(2)+z^(2)=a^(2),x^(3)+y^(3)+z^(3)=a^(3)

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)

Factorize each of the following quadratic polynomials by using the method of completing the square: y^(2)-7y+12 (2) z^(2)-4z-12

Factorization by taking out the common factors: x(x^(2)+y^(2)-z^(2))+y(-x^(2)-y^(2)+z^(2))-z(x^(2)+y^(2)-z^(2))

Factorize of the expression: a^(3)x+a^(2)(x-y)-a(y+z)-z