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Expand the following (i) (3a-2b)^(3) ...

Expand the following
`(i) (3a-2b)^(3) (ii) ((1)/(x)+(y)/(3))^(3)` (iii) `(4-(1)/(3x))^(2)`

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Let's solve the given problems step by step. ### (i) Expand \( (3a - 2b)^3 \) To expand \( (3a - 2b)^3 \), we will use the identity for the cube of a binomial: \[ (a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3 ...
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NCERT EXEMPLAR ENGLISH-POLYNOMIALS-EXERCISE 2.2 very short Answer type Questions
  1. Find the value of m, so that 2x-1 be a factor of 8x^(4)+4x^(3)-1...

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  2. If x+1 is a factor of ax^(3)+x^(2)-2x+4a-9, then value of a .

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  3. Factorise (i) x^(2)+9x+18 (ii) 6x^(2)+7x-3 (iii) 2x^(2)-7x-15 (...

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  4. Factorise (i) 2x^(3)-3x^(2)-17x+30 (ii) x^(3) -6x^(2)+11x-6 (iii...

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  5. Using suitable identity , evaluate the following (i) 103^(3) (ii...

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  6. Factorise the following : (i) 4x^(2)+20x+25 " " (ii) ...

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  7. Factorise the following (i)9x^(2)-12x+3 (ii) 9x^(2)-12x+4

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  8. Expand the following (i) (4a-b+ac)^(2) (ii) (3a-5b-c)^(2) (iii)...

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  9. Facorise the following (i) 9x^(2)+4y^(2)+16z^(2)+12xy-16yz-24xz (...

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  10. if a +b+c=9 and ab+bc+ca=26,find a^(2)+b^(2)+c^(2).

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  11. Expand the following (i) (3a-2b)^(3) (ii) ((1)/(x)+(y)/(3))^(3) (ii...

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  12. Facorise the following (i) 1-64a^(3)-12+48a^(2) (ii) 8p^(3)+(12)...

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  13. find the following products (i) ((x)/(2)+2y)((x^(2))/(4)-xy+4y^(2...

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  14. Factorise (i) 1+64x^(3)(ii) a^(3)-2sqrt(2)b^(3)

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  15. Find the product: (2x-y+3z)(4x^2+y^2+9z^2+2x y+3y z-6x z)

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  16. Factorise (i) a^(3)+8b^(3)+64c^(3)-24abc

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  17. without actually calculating , the cubes , find the valuse of ...

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  18. Factorize : (x-2y)^3+(2y-3z)^3+(3z-x)^3

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  19. Find the value of : (1) x^3 + y^3 -12xy + 64 when x+y+4=0 (2) x^3 ...

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  20. Give possible expression for the length and breadth of the rec...

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