How do you use the binomial series to expand #g(x) = (2-x)^4#?

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Answer 1 · 2018-01-29T02:56:31

Expansion of #color(brown)(g(x) = 16 - 32x + 24x^2 - 8x^3 + x^4)#

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As per Pascal's 4th row, cooefficients are

1 4 6 4 1

#g(x) = (2-x)^4 = 2^4 - 4 * 2^3 x + 6 * 2^2 x^2 - 4 * 2 * x^3 + x^4#

#color(brown)(g(x) = 16 - 32x + 24x^2 - 8x^3 + x^4)#