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Find the length of the side of the given...

Find the length of the side of the given square if area of the square is 625 square units and then find the value of x.

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NCERT EXEMPLAR-ALGEBRAIC EXPRESSIONS, IDENTITIES AND FACTORISATION -EXERCISE
  1. Verify that (a-b) (a -b) (a-b) = a ^(3) - 3a ^(2) b + 3a b ^(2) - b ...

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  2. Verify that (a ^(2) - b ^(2)) (a ^(2) + b ^(2)) + (b ^(2) - c ^(2)) ...

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  3. Verify that (5x + 8) ^(2) - 160 x = (5x - 8) ^(2)

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  4. Verify the (7p - 13q ) ^(2) + 364 pq = (7p + 13q) ^(2)

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  5. Verify that ((3p )/( 7) + (7)/(6p )) ^(2) - ((3p)/(7) -(7)/( 6p ))^2...

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  6. Find the value of a, if 8a = 35 ^(2) - 27 ^(2)

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  7. Find the value of a, if 9a = 76 ^(2) - 67 ^(2)

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  8. Find the value of a, if pqa = (3p + q) ^(2) - (3p - q) ^(2)

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  9. Find the value of a, if pq ^(2) a = (4pq + 3q) ^(2) - ( 4pq - 3q) ^(...

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  10. What should be added to 4c (– a + b + c) to obtain 3a (a + b + c) – 2b...

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  11. Subtract b (b ^(2) + b- 7) + 5 from 3b ^(2) - 8 and find the value of ...

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  12. If x - (1)/(x) = 7 then find value of x ^(2) + (1)/(x ^(2)).

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  13. Factorise x ^(2) + (1)/( x^(2)) + 2 - 3x - (3)/(x).

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  14. Factorise p ^(4) + q ^(4) + p ^(2) q ^(2).

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  15. Find the value of (6.25 xx 6.25 - 1. 75 xx 1. 75)/(4.5)

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  16. Simplify the following using the identities: (198\ x\ 198-102\ x\ 102...

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  17. The product of two expressions is x ^(5) + x ^(3) + x. If one of them ...

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  18. Find the length of the side of the given square if area of the square ...

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  19. The figure shows the dimensions of a wall having a window and a door o...

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  20. Match the expressions of column I with that of column II:

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