Identify the like terms in each of the following: (i) `-2x^2y\ ,\ x^2z ,\ -y x^2,\ x^2y^2` (ii)`c a b^2,\ a^2b c ,\ b^2a c ,\ c^2a b ,\ a b^2c ,\ a b c ,\ a c b^2`

Add the following: 7a b c ,\ -5a b c ,\ 9a b c ,\ -8a b c 2x^2y ,\ -4x^2y ,\ 6x^2y ,\ -5x^2y

Evaluate each of the following algebraic expressions for x=1,\ y=-1, z=2,\ a=-2,\ b=1,\ c=-2: (i) a x+b y+c z (ii) a x^2+b y^2-c z^2 (iii) a x y+b y z+c x y

Solve: a^2x+b^2y=c^2; b^2x+a^2y=d^2

If x= b+c, y=c+a, z=a+b , then find the value of (x^2 + y^2 + z^2 -yz - zx-xy)/( a^(2) + b^(2) + c^(2) - bc - ca - ab)

Show that |a b c a+2x b+2y c+2z x y z|=0

If a, b, c > 0 and x, y, z E R, then the determinant (a +a*)2 (a -ax)2 1 (b + b-y)2 (b b-y)2 1 (c2 + c2)2 (c+c2)2 1 x12 al roots of = 0, is is dependent on a. a, b, c only c. a, b, c, x, y, z b. x, y, z only d. None of these (-9: Let x < 1? then value of x2 +2 2x +1 1