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Expand of the expression : (1-2x)^5...

Expand of the expression : `(1-2x)^5`

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The correct Answer is:
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`(1-2x)^5`
`=overset(5)underset(r=0)(Sigma).^(5)C_(r)(1)^(5-r)(-2x)^(r)`
`=^(5)C_(0).1^(5)+^(5)C_(1).1^(4).(-2x)^(1)+^(5)C_(2).1^(3).(-2x)^(2)`
`+^(5)C_(3).1^(2)(-2x)^(3)+^(5)C_(4).1(-2x)^(4)+^(5)C_(5).(-2x)^(5)`
`=1+5(-2x)+10(4x^(2))+10(-8x^(3))+5(16x^(4))`
`+1.(-32x^(5))`
`=1-10x+40x^(2)-80x^(3)+80x^(4)-32x^(5)`
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Knowledge Check

  • The minimum value of the expression 2 ^(x) + 2 ^(2x +1) + (5)/(2 ^(x)) ,x in R is :

    A
    `7`
    B
    `(7.2) ^(1//7)`
    C
    `8`
    D
    `(3.10)^(1//3)`

  • If x = 5, then the value of the expression x ^(2) - 2 + (1)/(x ^(2)) is :

    A
    `(24)/(5)`
    B
    `(625)/(24)`
    C
    `(576)/(25)`
    D
    `(24)/(25)`

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