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Add the following: a – b + ab, b – c + b...

Add the following: a – b + ab, b – c + bc, c – a + ac

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Write the value of the following determinant abs{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c):} .

Without expanding, prove the following |(a,b,c),(a^2,b^2,c^2),(bc,ca,ab)|=(a-b)(b-c)(c-a)(ab+bc+ca)

If (lna)/(b-c)=(lnb)/(c-a)=(lnc)/(a-b) , prove the following . a^(b^2+bc+c^2).b^(c^2+ca+a^2).c^(a^2+ab+b^2)=1

Compute the following: : [[a^2+b^2,b^2+c^2],[a^2+c^2,a^2+b^2]] + [[2ab,2bc],[-2ac,-2ab]]

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MBD-ALGEBRAIC EXPRESSIONS AND IDENTITIES-EXERCISE
  1. Add the following: a – b + ab, b – c + bc, c – a + ac

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  2. What are the co-efficients of x andc y in the following expression ? ...

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  3. What are the co-efficients of x andc y in the following expression ? 8...

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  4. What are the co-efficients of x and y in the following expression ? yz...

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  5. What are the co-efficients of x andc y in the following expression ? m...

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  6. Classify the following expression as a monomial ,a binomial or a trino...

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  7. Classify the following expression as a monomial ,a binomial or a trino...

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  8. Classify the following expression as a monomial ,a binomial or a trino...

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  9. Classify the following expression as a monomial ,a binomial or a trino...

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  10. Classify the following expression as a monomial ,a binomial or a trino...

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  11. Classify the following expression as a monomial ,a binomial or a trino...

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  12. Add: 7xy-2y and 3x-4y.

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  13. Add: 3x-5y+7,2x-y+5 and 3x + 2y -8.

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  14. Add: 3x + 5y -4,-9x + 4y and 2x-5y+7.

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  15. Add: 5px+7q-r,2px+3r and =px+2q+r.

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  16. Subtract: 5x-3y-4 from 8x-7y+5.

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  17. subtract 24ab – 10b – 18a from 30ab + 12b + 14a.

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  18. Find the product of the following pairs of monomials. 4,3p

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  19. Find the product of the following pairs of monomials. 5x,-3y

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  20. Find the product of the following pairs of monomials. 5x,4x^2

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  21. Find the product of the following pairs of monomials. 5x,-4xyz

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