The sum of the coefficients in the binomial expansion of 1x - 2x 6 is equal to

The correct option is B 729 ( 1x + 2x )^6 = c_0 (1x)^6 + c_1 (1x)^5· 2x + c_2 (1x)^4· (2x)^2 + …… + c_6 (2x)^6 To calculate the sum of the coefficie ...

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Standard XII

Mathematics

Greatest Binomial Coefficients

The sum of th...

Question

The sum of the coefficients in the binomial expansion of ${(\frac{1}{x} + 2 x)}^{6}$ is equal to

1024

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729

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243

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512

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64

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Solution

The correct option is B $729$
${(\frac{1}{x} + 2 x)}^{6} = c_{0} {(\frac{1}{x})}^{6} + c_{1} {(\frac{1}{x})}^{5} \cdot 2 x + c_{2} {(\frac{1}{x})}^{4} \cdot (2 x)^{2} + \dots \dots + c_{6} (2 x)^{6}$
To calculate the sum of the coefficients, substitute $x = 1$ , in the above equation
Therefore, sum of the coefficients $= (1 + 2)^{6} = 729$ .

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The sum of the coefficients in the binomial expansion of (1x+2x)6 is equal to

The correct option is B 729(1x+2x)6=c0(1x)6+c1(1x)5⋅2x+c2(1x)4⋅(2x)2+……+c6(2x)6To calculate the sum of the coefficients, substitute x=1, in the above equationTherefore, sum of the coefficients =(1+2)6=729.

The sum of the coefficients in the binomial expansion of ${(\frac{1}{x} + 2 x)}^{6}$ is equal to