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

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Answer 1 · 2016-02-01T08:48:45

Use the pascal's triangle to find the answer easily: enter image source here

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$rarr(a+b)^4=1a^4+4a^3b+6a^2b^2+4ab^3+1b^4$

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

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