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

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

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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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