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Home  >>  CBSE XI  >>  Math  >>  Binomial Theorem
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Expand each of the expressions:$(1-2x)^5$

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  • $(a-b)^n=nC_0a^n-nC_1a^{n-1}b+nC_2a^{n-2}b^2.......+(-1)^nnC_ra^{n-r}b^r+......nC_n(-b)^n$
$(1-2x)^5=5C_01^5+5C_1.1^4.(-2x)+5C_2.1^3(-2x)^2+5C_3.1^2(-2x)^3+5C_4.1^1(-2x)^4+5C_5.1^0(-2x)^5$
$\Rightarrow 1.1+5.1(-2x)+\large\frac{5.4}{1.2}$$1.4x^2+.......+\large\frac{5.4}{1.2}$$.1.(-8x^3)+\large\frac{5}{1}$$.1.16x^4+(-32x^5)$
$\Rightarrow 1-10x+40x^2-80x^3+80x^4-32x^5$
answered Jun 20, 2014 by sreemathi.v
 
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