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Show that a + b + c = b + c + a...

Show that
a + b + c = b + c + a

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Show that a + b + c = c + a + b

In the formula, a^3+b^3+c^3-3 abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca) if a + b + c = 0 , then show that a^3 + b^3 + c ^3 = 3 abc

If A + B + C= pi and cos A = cos B cos C, show that tan A =tan B + tan C and cot B cot C=1/2.

If a, b, c are in A.P. then show that the terms given below are also in A.P. b + c, c + a, a + b

if A + B+ C= pi/2 ,show that tan A tan B + tan B tan C+ tan C tan A = 1

If A + B + C = pi , show that cot A cot B + cot B cot C + cot C cot A = 1

In the formula, a^3+b^3+c^3-3 abc = 1/2 (a+b+c){(a-b)^2+(b-c)^2+(c-a)^2} , if a + b + c != 0 , Show that if a^3 +b^3+c^3= 3abc impliesa=b=c

If a, b, c are in A.P. and also in GP., show that a = b = c.

Show that: (a-b)(a+b)+ (b-c) (b+c) +(c-a) (c+a) =0

Without expanding show that : |(a,b+c,1),(b,c+a,1),(c,a+b,1)|=0

ASHOK PUBLICATION ASSAM-Rational Numbers-EXAMPLE
  1. Use the symbols <, =, > appropriately in place of "?" -3?0

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  2. Show that 3 + 4 + 5 = 5 + 4 + 3

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  3. Show that a + b + c = b + c + a

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  4. Show that a + b + c = c + a + b

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  5. Show that 7 xx 5 xx 2 = 5 xx 2 xx 7

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  6. What is the additive inverse of the following real number? 3

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  7. What is the additive inverse of the following real number? 3/4

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  8. What is the additive inverse of the following real number? 0

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  9. What is the additive inverse of the following real number? sqrt2

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  10. What is the additive inverse of the following real number? -sqrt3

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  11. What is the additive inverse of the following real number? -pi

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  12. What is the additive inverse of each of the following real numbers? ...

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  13. What is the additive inverse of each of the following real numbers? ...

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  14. Find the multiplicative inverse elements of the following real numbers...

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  15. Find the multiplicative inverse elements of the following real numbers...

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  16. Find the multiplicative inverse elements of the following real numbers...

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  17. Find the multiplicative inverse elements of the following real numbers...

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  18. Find the multiplicative inverse elements of the following real numbers...

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  19. Find the multiplicative inverse elements of the following real numbers...

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  20. Find the multiplicative inverse elements of the following real numbers...

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