How do you expand the binomial ${(x + 1)}^{4}$ $(x+1)^4$ ?

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How do you expand the binomial ${(x + 1)}^{4}$ $(x+1)^4$ ?

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Answer 1 · 2017-03-08T17:06:15

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

Explanation:

Let's say you don't know your Pascal triangle by heart. Here is how to find it.
1
1 1+1 1 =
121
1 1+2 2+1 1 =
1331
1 3+1 3+3 3+1 1=
14641
${(1 + x)}^{4} = 1 + 4 x + 6 x^{2} + 4 x^{3} + x^{4}$ $(1+x)^4= 1 + 4 x + 6 x^2 + 4x^3 + x^4$

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How do you expand the binomial ${(x + 1)}^{4}$ $(x+1)^4$ ?

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