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Add the following: i) 7a b c ,\ -5a b c ...

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`

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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 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

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

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

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

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

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

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

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

RD SHARMA ENGLISH-ALGEBRAIC EXPRESSIONS-All Questions
  1. Add the following: (i)3x\ a n d\ 7x (ii) -5x y\ a n d\ 9x y

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  2. Simplify each of the following: (i)7x^3y+9y x^3 (ii) 12 a^2b+3b...

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

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  4. Add the following expressions: (i) x^3-2x^2y+3x y^2-y^3,\ 2x^3-5x y^...

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  5. Add the following expressions: (i) 8a-6a b+5b ,\ -6a-a b-8b\ a n d-4...

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

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  7. Add the following: (i) x – 3y – 2z , 5x + 7y – 8z , 3x – 2y + 5z

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  8. Add the following: 4ab – 5bc + 7ca, –3ab + 2bc – 3ca, 5ab – 3bc + ...

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  9. Add 2x^2-3x+1 to the sum of 3x^2-2x and 3x+7.

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  10. Add x^2+2x y+y^2 to the sum of x^2-3y^2 and 2x^2-y^2+9.

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  11. Add a^3+b^3-3 to the sum of 2a^3-3b^3-3a b+7 and a^3+3a b-9.

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  12. Subtract: (i)7a^2b\ from 3a^2b (ii) 4x y\ from -3x y

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  13. Subtract: (i)-4x from 3y\ (ii) -2x\ from -5y

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  14. Subtract: 6x^3-7x^2+5x-3 from 4-5x+6x^2-8x^3 x^3+2x^2y+6x y^2-y^3 fro...

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  15. From (a) p^3-4+3p^2,\ take away 5p^2-3p^3+p-6 (b)7+x-x^2, take aw...

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  16. From (a)1-5y^2, take away y^3+7y^2+y+1 (b)x^3-5x^2+3x+1, take away...

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  17. From the sum of 3x^2-5x+2 and -5x^2-8x+9 subtract 4x^2-7x+9.

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  18. Subtract the sum of 13 x-4y+7z and -6z+6x+3y from the sum of 6x-4y-4z ...

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  19. From the sum of x^2+3y^2-6x y ,2x^2-y^2+8x y , y^2+8 and x^2-3x y\ su...

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  20. What should be added to x y-3y z+4z x to get 4x y-3z x+4y z+7?

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