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

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) x – 3y – 2z , 5x + 7y – 8z , 3x – 2y + 5z

Add the following expressions: (i) 8a-6a b+5b ,\ -6a-a b-8b\ a n d-4a+2a b+3b (ii) 5x^3+7+6x-5x^2,\ 2x^2-8-9x ,\ 4x-2x^2+3x^3,\ 3x^3-9x-x^2\ a n d\ x-x^2-x^3-4

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

If A={1,2,3,4},B={2,3,4,5} and C={4,5,6,7} , then find each of the following : (i) A - (B-C) (ii) (A- B) -C .

Put the last two terms of each of the following expressions in the parentheses preceded by a minus sign: 2x+3y-4z+7 (ii) 3a-2b-7c-4d 7x y-4y z+3z x-5

Add the following expressions: (i) x^3-2x^2y+3x y^2-y^3,\ 2x^3-5x y^2+3x^2y-4y^3 (ii) a^2-2a^3b+3a b^3+4a^2b^2+3b^4,-2a^4-5a b^3+7a^3b-6a^2b^2+b^4

The reaction A+2B+C to Z occurs by the following mechanism: (i) A+2B+C to X (fast) (ii) X+C to Y (slow) (iii) Y+B to Z (very fast) Rate law for this reaction is:

Let S be the set of all column matrices [b_1b_2b_3] such that b_1,b_2, b_3 in R and the system of equations (in real variable) -x+2y+5z=b_1 2x-4y+3z=b_2 x-2y+2z=b_3 has at least one solution. Then, which of the following system(s) (in real variables) has (have) at least one solution for each [b_1b_2b_3] in S? (a) x+2y+3z=b_1, 4y+5z=b_2 and x+2y+6z=b_3 (b) x+y+3z=b_1, 5x+2y+6z=b_2 and -2x-y-3z=b_3 (c) -x+2y-5z=b_1, 2x-4y+10 z=b_2 and x-2y+5z=b_3 (d) x+2y+5z=b_1, 2x+3z=b_2 and x+4y-5z=b_3

Write each of the following equations in the form a x+b y+c=0 and indicate the values of a, b and c in each case: (i) 2x+3y=4. 37 (ii) x-4=sqrt(3)y (iii)4=5x-3y (iv) 2x=y