Find GCD of `25x^(2) y^(2)z, 45x^(2) y^(4) z^(3) b `

(a) Find the LCM of 18x^(3) y^(2) and 45 x^(5) y^(2) z^(3)

Find the GCD for the following : 35x^(5) y^(3) z^(4) , 49x^(2) yz^(3), 14xy^(2) z^(2)

Find ((x^(2)-y^(2))^(3) + (y^(2) -z^(2))^(3)+ (z^(2) -x^(2))^(3))/((x-y)^(3) + (y-z)^(3) + (z-x)^(3))

Find the GCD of a^(x) , a^(x + y ) , a^(x+ y + z)

If x^(2) + 3y^(2) + 4z^(2)+ 19 = 4 sqrt(3) ( x + y + z) , then the value of ( x - y + 4z) is:

Find the GCD for the following : 4x^(3) , y^(3) , z^(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)