How do you use the binomial series to expand $(2x+1)^4$ ?

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Answer 1 · 2018-01-29T02:36:01

$color(brown)((2x+1)^4 = 16x^4 + 32x^3 + 24x^2 + 8x + 1)$

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Refer Pascal's triangle for power 4

1 4 6 4 1

$(2x+1)^4 = (2x)^4 + 4 * (2x)^3 * 1 + 6 * (2x)^2 * 1^2 + 4 * (2x)^1 * 1^3 + 1^4$

$color(brown)((2x+1)^4 = 16x^4 + 32x^3 + 24x^2 + 8x + 1)$