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If p + q=12 and pq= 22, then find p^(2) ...

If `p + q=12 and pq= 22,` then find `p^(2) + q ^(2).`

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NCERT EXEMPLAR-ALGEBRAIC EXPRESSIONS, IDENTITIES AND FACTORISATION -EXERCISE
  1. The base of a parallelogram is (2x + 3) units and the corresponding he...

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  2. The radius of a circle is 7ab – 7bc – 14ac. Find the circumference of ...

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  3. If p + q=12 and pq= 22, then find p^(2) + q ^(2).

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  4. If a+b=25 and a^(2)+b^(2)=225 then find ab

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  5. If x -y = 13 and xy = 28, then find x ^(2) + y ^(2).

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  6. If m -n = 16 and m ^(2) + n ^(2) = 400, then find mn.

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  7. If a ^(2) + b ^(2) = 74 and ab = 35, then find a + b.

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  8. Verify that (ab+ bc) (ab- bc) + (bc+ ca) (bc- ca) + (ca + ab) (ca- a...

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  9. Verify that (a +b + c) (a ^(2) + b ^(2) + c ^(2) - ab - bc - ca) = a...

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  10. Verify that (p-q) ( p ^(2) + pq + q ^(2)) = p ^(3) - q ^(3)

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  11. Verify that (m + n) ( m ^(2) - mn + n ^(2)) = m ^(3) + n ^(3)

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  12. Verify the (a+b ) (a+b) (a +b) = a ^(3) + 3a ^(2) b + 3a^(2) b + 3a ...

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  13. Verify that (a-b) (a -b) (a-b) = a ^(3) - 3a ^(2) b + 3a b ^(2) - b ...

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

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

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

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

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

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

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

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