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)/(4)a-(1)/(2)b+1]^(2)`

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

Expand using suitable identity (2x-3y+z)^(2) .

Write the following in expanded form: (i) (9x+2y+z)^(2)( ii) (3x+2y-z)^(2)( iii) (x-2y-3z)^(2)( iv) (-x+2y+z)^(2)

Expand using suitable identity (-2x+5y-3z)^2

Expand the following (i) (4a-b+ac)^(2) (ii) (3a-5b-c)^(2) (iii) (-x+2y-3z)^(2)

Write the following in the expanded form: (2x-y+z)^(2) (ii) (-2x+3y+2z)^(2)

Write the following in expanded form: (x-2y-3z)^(2)( ii) (-x+2y+z)^(2)

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)

Find the S.D. between the lines : (i) (x)/(2) = (y)/(-3) = (z)/(1) and (x -2)/(3) = (y - 1)/(-5) = (z + 4)/(2) (ii) (x -1)/(2) = (y - 2)/(3) = (z - 3)/(2) and (x + 1)/(3) = (y - 1)/(2) = (z - 1)/(5) (iii) (x + 1)/(7) = (y + 1)/(-6) = (z + 1)/(1) and (x -3)/(1) = (y -5)/(-2) = (z - 7)/(1) (iv) (x - 3)/(3) = (y - 8)/(-1) = (z-3)/(1) and (x + 3)/(-3) = (y +7)/(2) = (z -6)/(4) .

Which of the following line is passing through point of intersection of line (x-4)/(2)=(y-3)/(2)=(z-5)/(1) and the plane x+y+z=2( a) (x)/(2)=(y+1)/(3)=(z-3)/(4) (b) (x-2)/(3)=(y-1)/(3)=(z-2)/(2)(c)(x-2)/(2)=(y+1)/(3)=(z-2)/(4)(d)(x-2)/(2)=(y+1)/(3)=(z+3)/(4)