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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 expand the given expressions step by step. ### (i) Expand \( (3a - 2b)^3 \) To expand \( (3a - 2b)^3 \), we will use the formula for the cube of a binomial: \[ (a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3 \] ...
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NCERT EXEMPLAR-POLYNOMIALS-Polynomials
  1. Facorise the following (i) 9x^(2)+4y^(2)+16z^(2)+12xy-16yz-24xz (...

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

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

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

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

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

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

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  8. Factorise (i) a^(3)+8b^(3)+64c^(3)-24abc (ii) 2sqrt(2)a^(3)+8b^(3)-2...

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

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

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

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

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  13. If the polynomials az^3+4z^2+3z-4 and z^3-4z+a leave the same remainde...

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  14. the polynomial p(x)=x^(4)-2x^(3)+3x^(2)-ax+3a -7 when divided by ...

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  15. if both x-2 and x-(1)/(2) are factors of px^(2)+5x+r. then show ...

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  16. Without actual division, prove that 2x^4-5x^3+2x^2-x+2 is exactly divi...

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  17. Simplify :(2x-5y)^3-(2x+5y)^3

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  18. Multiply: x^2+4y^2+z^2+2x y+x z-2y z\ by x-2y-z

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  19. if a, and c are all non zero and a+b+c=0 , then find the value of...

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  20. If a+b+c=5 and ab+bc+ca=10, then find a^3+b^3+c^3-3abc

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