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Factorise y^(2) + 2xy + 2 xz - z^(2) ....

Factorise `y^(2) + 2xy + 2 xz - z^(2)` .

A

`(x-y+z) (y+z)`

B

`(x+y+z)(y-z)`

C

`(y-z)(y+z+2x)`

D

`(y+z)(y-z+2x)`

Text Solution

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The correct Answer is:
D
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PEARSON IIT JEE FOUNDATION-EXPRESSIONS AND SPECIAL PRODUCTS -CONCEPT APPLICATION (LEVEL 3)
  1. Which of the following is a perfect square ?

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  2. If x + y = 7 and xy = 2 , then x^(2) - y^(2) = "" (x gt y)

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  3. 32. If x+1/x=2 then x^100 -1/x^100 is

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  4. If x + (1)/(x) = 2 , then x^(100) - (1)/(x^(100)) = "".

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  5. For what value of p is 9 x^(2) + 18 xy + p a perfect square ?

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  6. If 2y + (1)/(2y) = 3 , then 16y^(4) + (1)/(16y^(4)) = "".

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  7. If 496 xx 492 = x^(2) - 4 (x gt 0) , then x = "".

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  8. Factorise x^(4) + x^(2) + 1 .

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  9. If x + (1)/(x) = a and x - (1)/(x) = b , then a^(2) - b^(2) = "" .

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  10. Factorise y^(2) + 2xy + 2 xz - z^(2) .

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  11. If A = (x - a) (x - b) (x -c) "……" ( x- z) , then the number of terms ...

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  12. (4x^(4) + 19x^(2) + 25) div (2x^(2) - x + 5) = "" .

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  13. If P = 8x^(4) + 6x^(3) - 15 x^(2) + 27 x - 20 and Q = 2x^(2) + 3x - 4 ...

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  14. Factorize: x^(3) + xy^(2) - x^(2) -y^(2) =

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  15. If y - (1)/(y) = 3 , then find y^(4) + (1)/(y^(4)) .

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  16. If 64x^(2) + (1)/(16 x^(2)) = 20 , then 8x - (1)/(4x) can be ""

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  17. If p + q = 15 and pq = 54 , then p - q can be "" .

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  18. Divide 2x^(2) + 3x + 4 by x+1 and find the quotient.

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  19. What should be subtracted from x^(3) + 2x^(2) - 3x + 10 , so that the ...

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  20. If C = (7x + 9) and D = (4x^(2) + 8x + 5) , then the degree of the pro...

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