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Add: (i)p\ (p-q), q(q-r)and\ r\ (r-p) ...

Add: (i)`p\ (p-q), q(q-r)`and`\ r\ (r-p)`
(ii)`2x\ (z-x-y)\ `and`\ 2y\ (z-y-x)`

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(i)`p\ (p-q), q(q-r)`and`\ r\ (r-p)`
`=p^2-pq+q^2-qr+r^2-pr`
(ii)`2x\ (z-x-y)\ `and`\ 2y\ (z-y-x)`
`=2xz-2x^2-2xy+2yz-2y^2-2yx`
`=2xz-2x^2-4xy+2yz-2y^2`
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RD SHARMA-ALGEBRAIC EXPRESSIONS AND IDENTITIES-All Questions
  1. Add : (i) 5m\ (3-m)a n d\ 6m^2-13 m (ii)4y\ (3y^2+5y-7)a n d\ 2\ (y^...

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  2. Subtract 3p q\ (p-q)from2p q\ (p+q)

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  3. Add: (i)p\ (p-q), q(q-r)and\ r\ (r-p) (ii)2x\ (z-x-y)\ and\ 2y\ (z-y...

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  4. Subtract: 3l\ (l-4m+5n) from 4l(10 n-3m+2l)

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  5. Subtract: 3a\ (a+b+c)-2b(a-b+c)from 4c(-a+b+c)

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  6. Simplify each of the expressions: 15 a^2-6a(a-2)+a(3+7a)

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  7. Simplify each of the following expressions: x^2(1-3y^2)+x(x y^2-2x)-3y...

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  8. Simplify each of the following expressions: 4s t\ (s-t)-6s^2(t-t^2)-3t...

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  9. Find the following products: (i)2a^3(3a+5b) (ii) -11 a(3a+2b) (iii...

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  10. Find the following products: (i)(6x)/5(x^3+y^3) (ii)x y(x^3-y^3) ...

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  11. Find the following products: (i) 4/(27)x y z\ (9/2x^2y z-3/4x y z^2) ...

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  12. Find the following products: 7/5x^2y(3/5x y^2+2/5x) 4/3a(a^2+b^2-3...

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  13. Find the product 24 x^2(1-2x) and evaluate its value for x =3.

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  14. Find the product \ 3y(x y+y^2) and find its value for x=4\ a n d\ y=5.

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  15. Multiply -3/2x^2y^2\ by\ (2x-y) and verify the answer for x=1\ and\ ...

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  16. Multiply the monomial by the binomial and find the value of each for...

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  17. Simplify: 2x^2(x^3-x)-3x(x^4+2x)-2(x^4-3x^2)

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  18. Simplify: x^3y(x^2-2x)+2x y(x^3-x^4)

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  19. Simplify: 3a^2+2(a+2)-3a(2a+1)

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  20. Simplify: x(x+4)+3x(2x^2-1)+4x^2+4

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