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Consider the special case of identity(iv...

Consider the special case of identity(iv) with b=-a.What do you get ?Is it related to identity(iii)?

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Consider,the special case of identity (iv) with a=b,what do you get?Is it related to Identity(i)?

Consider,the special case of identity (iv) with a=-c and b = -c.What do you get ?Is it related to Identity(ii)?

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When we add zero to any whole number we get the same whole number Zero is called the additive identity for whole numbers .Is it an additive identity again for integers also Observe the following and fill in the blanks (i) (-8)+0=-8 (ii) 0+(-8)=-8 (iii) (-23) +0= (iv) 0+(-37)=-37 (v) 0+(-59)=... (vi) 0+...=-43 (vii) -61 +....=-43 (vii) -61 +...=-61 (viii) ..+0= ..... The above examples shows that zero is an additive identity for integers . you can verify it by a adding zero to any other five integers . In general , for any integer a , a+0=0+a=a

Consider the following statements: (i) If any two rows or coluns of a determinant are identical, then the value of the determinatn is zero. (ii) If the corresponding rows and columns of a determinant are interchanged, then the value of the determinant does not change. (iii) If any two rows (or columns) of a determinant are interchanged, then the value of the determinant changes in sign. Which of these are correct?

A bag has 4 red balls and 2 yellow balls. (The balls are identical in all respects other than colour). A ball is drawn from the bag without looking into the bag. What is probability of getting a red ball? Is it more or less than getting a yellow ball?

NAND LAL PUBLICATION-ALGEBRAIC EXPRESSIONS AND IDENTITIES -TRY THESE
  1. Find the value of the expression 2y - 5, for the given values of y i.e...

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  2. Give five examples of expressions containing one variable and five exa...

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  3. Show on the number line x,x-4,2x + 1,3x -2.

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  4. Classify the following polynomials as monomials, binomials, trinomials...

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  5. Construct: 3 binomials with only x as a varialble.

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  6. Construct: 3 binomials with x and y as variables.

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  7. Construct: 3 monomials with x and y as variables.

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  8. Construct: 2 polynomials with 4 or more terms.

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  9. Write two terms which are like 7xy

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  10. Write two terms which are like 4 mn ^(2)

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  11. Write two terms which are like : 2l.

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  12. Can you think of two more such situations., where we may need to multi...

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  13. Find 4x xx 5 y xx 7z First find 4x xx 5y and multiple it by 7z o...

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  14. Obtain the product of 2x (3x + 5 xy)

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  15. Obtain the product of a ^(2) ( 2 ab - 5c)

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  16. Find the product: (4p^2 +5p +7)xx3p.

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  17. Verify identify(IV) for a =2,b=3,x=5.

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  18. Consider,the special case of identity (iv) with a=b,what do you get?Is...

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  19. Consider,the special case of identity (iv) with a=-c and b = -c.What d...

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  20. Consider the special case of identity(iv) with b=-a.What do you get ?I...

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