" I(v) "(-2x+5y-3z)^(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)/(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 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 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

Find the values of x and y from the following : (i) (3x -7)+2iy=-5y+(5+ x)i (ii) 2x i+12= 3y-6i (iii) z=x+iy and i(z+2)+1=0 (iv) ((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=i (v) (3x-2iy)(2+i)^(2)=10(1+i)

Find the values of x and y from the following : (i) (3x -7)+2iy=-5y+(5+ x)i (ii) 2x i+12= 3y-6i (iii) z=x+iy and i(z+2)+1=0 (iv) ((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=i (v) (3x-2iy)(2+i)^(2)=10(1+i)

Write the coefficient of (i) x in 13x (ii) y in - 5y (iii) a in 6ab (iv) z in - 7xz (v) p in - 2 pqr (vi) y^(2) in 8xy^(2)z (vii) x^(3) in x^(3) (viii) x^(2) in -x^(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)

Show that the lines : (i) (x -5)/(7) = (y + 2)/(-5) = (z)/(1) " " and (x)/(1) = (y)/(2) = (z)/(3) (ii) (x - 3)/(2) = (y + 1)/(-3) = (z - 2)/(4) and (x + 2)/(2) = (y - 4)/(4) = (z + 5)/(2) are perpendicular to each other .

Factors of (2x - 3y) ^(3) + ( 3y - 5z) ^(3) + ( 5z - 2x) ^(3) are: