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Simplify the a(b-c)+b(c-a)+c(a-b)

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Simplify the (a+b)(a-b)+(b+c)(b-c)+(c+a)(c-a)

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Simplify the (a^2+b^2)(a^2-b^2)+(b^2+c^2)(b^2-c^2)+(c^2+a^2)(c^2-a^2)

a, b, c are reals such that a+b+c=3 and 1/(a+b) + 1/(b+c) + 1/ (c+a) = 10/3 . The value of a/(b+c) + b/(c+a) + c/(a+b) is________.

If x/(b + c -a) = y/(c + a - b) = z/(a + b -c) , then show that (b -c) x + (c-a) y + (a -b) z = 0 .

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NCERT BANGLISH-ALGEBRIC OPERATIONS-Exercise
  1. Presently, the price of a dozen of bananas has increased by 6 rupees. ...

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  2. Find the area of a square whose each side is 7x cm.

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  3. The area of a rectangle is 8x^2 sq units. If its length is 4x units, f...

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  4. Sushobhan sold 729y^4 number of kites in 9y days. Find the number of k...

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  5. Divide the first algebraic expression by the second algebraic expressi...

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  6. Divide the first algebraic expression by the second algebraic expressi...

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  7. Divide the first algebraic expression by the second algebraic expressi...

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  8. Divide the first algebraic expression by the second algebraic expressi...

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  9. Divide the first algebraic expression by the second algebraic expressi...

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  10. Divide the first algebraic expression by the second algebraic expressi...

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  11. Divide the first algebraic expression by the second algebraic expressi...

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  12. Divide the first algebraic expression by the second algebraic expressi...

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  13. Divide the first algebraic expression by the second algebraic expressi...

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  14. Divide the first algebraic expression by the second algebraic expressi...

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  15. Simplify the a(b-c)+b(c-a)+c(a-b)

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  16. Simplify the a(b-c)-b(c-a)-c(a-b)

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

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  18. Simplify the 3x^2+x(x+2)-3x(2x+1)

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  19. Simplify the (a+b)(a-b)+(b+c)(b-c)+(c+a)(c-a)

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  20. Simplify the (a^2+b^2)(a^2-b^2)+(b^2+c^2)(b^2-c^2)+(c^2+a^2)(c^2-a^2)

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