Home
Class 11
MATHS
Expand (2x-3)^6...

Expand `(2x-3)^6`

Text Solution

Verified by Experts

The correct Answer is:
N/a

`(2x-3)^(6)=^(6)C_(0)(2x)^(6)(-3)^(0)+^(6)C_(1)(2x)^(5)(-3)^(1)`
`+^(6)C_(2)(2x)^(4)(-3)^(2)+^(6)C_(3)(2x)^(3)(-3)^(3)`
`+^(6)C_(4)(2x)^(2)(-3)^(4)+^(6)C_(5)(2x)^(1)(-3)^(5)`
`+^(6)C_(6)(2x)^(0)(-3)^(6)`
`=(1xx64x^(6))+{6xx32x^(5)xx-3}+{15xx16x^(4)xx9}`
`+{20xx8x^(3)xx(27)}+{15xx4x^(2)xx81}`
`+{6xx2x xx(-243)}+{1xx729}`
`=64x^(6)-576x^(5)+2160x^(4)-4320x^(3)+4860x^(2)`
`-2916x+729`
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Exericse 8.2|24 Videos
  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exericse|20 Videos
  • BINOMIAL THEOREM

    NAGEEN PRAKASHAN|Exercise Exercise 8F|20 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|20 Videos

Similar Questions

Explore conceptually related problems

Expand (2x-3y)^(4) by binomial theorem.

Expand (3x-2y)^(6) with the help ob binomial theorm.

Expand (2x - 3x^2)^5

Expand (1+2x-3x^(2))^(5)

By using pascles's triangle expand (2x+3y)^(4) .

Expand (4x-3y-2z)^(2) .

Expand : ( y+2)^6

Expand (y+x)^2

Expand (x^2 -y)^7