Binomials are polynomials with two terms
The relationship between binomial expansions and pascal triangle is that: the coefficient of each term are gotten from the pascal triangle, where n represents the row.
The pascal triangle from 1 to 5 is:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
So, an expansion of
[tex](a + b)^3[/tex] would be:
[tex](a + b)^3 =1a^3 + 3a^2b + 3ab^2 + 1b^3[/tex]
The power of (a + b) is 3
Notice that: the coefficient of each term in the expansion is:
1 3 3 1
In the third row of pascal triangle, the terms of the pascal triangle are:
1 3 3 1
Hence,
The relationship between binomial expansions and pascal triangle is that: the coefficient of each term are gotten from the pascal triangle, where n represents the row.
Read more about binomial expansions and pascal triangle at:
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