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

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

Add the following (i) 7abc , -5abc , 9abc , -8abc (ii) 2x^2y , -4x^2y , 6x^2y , -5x^2y

Add the following (i) 7abc , -5abc , 9abc , -8abc (ii) 2x^2y , -4x^2y , 6x^2y , -5x^2y

Add the following: x-3y-2z (ii) 4a b-5b c+7c a

Add the following: x-3y-2z (ii) 4a b-5b c+7c a

Write down each of the following in exponential form: (i) 4a^3\ x\ \ 6a b^2\ x\ \ c^2 (ii) 5x y\ x\ 3x^2y\ x\ 7y^2 (iii) a^3x\ 3a b^2x\ 2a^2b^2

Multiply : 3a b^2c^3\ b y\ 5a^3b^2c (ii) 4x^2y z\ b y-3/2x^2y z^2

Identify the like terms and also mention the numerical coefficients of those terms: (i) 4x y ,\ -5x^2y ,\ -3y x ,\ 2x y^2 (ii) 7a^2b c ,\ -3c a^2b ,\ -5/2a b c^2,3/2a b c^2,-4/3c b a^2

Add: (i) 3a - 2b + 5c, 2a + 5b - 7c, -a - b + c (ii) 8a - 6ab + 5b, -6a - ab - 8b, -4a + 2ab + 3b (iii) 2x^(3) - 3x^(2) + 7x - 8, -5x^(3) + 2x^(2) - 4x + 1, 3 - 6x + 5x^(2) - x^(3) (iv) 2x^(2) - 8xy + 7y^(2) - 8xy^(2), 2xy^(2) + 6xy - y^(2) + 3x^(2), 4y^(2) - xy - x^(2) + xy^(2) (v) x^(3) + y^(3) - z^(3) + 3xyz, - x^(3) + y^(3) + z^(3) - 6xyz, - x^(3) - y^(3) - z^(3) - 8xyz (vi) 2 + x - x^(2) + 6x^(3). -6 - 2x + 4x^(2) - 3x^(3). 2 + x^(2). 3 - x^(3) + 4x - 2x^(2)

Prove that |[a x-b y-c z, a y+b x, c x+a z], [a y+b x, b y-c z-a x, b z+c y],[c x+a z, b z+c y, c z-a x-b y]|=(x^2+y^2+z^2)(a^2+b^2+c^2)(a x+b y+c z)dot