Binomial Theorem and Pascal's Triangle

​Pascal's Triangle

​•Pascal’s triangle help to determine all coefficients of a binomial expansion. Where a, b ∈ R, and exponent n ∈ N

​Start with number “1” at the top, then continue placing numbers below by the sum of two consecutive numbers on the same row.

​Pascal's Triangle

​•Pascal’s triangle help to determine all coefficients of a binomial expansion. Where a, b ∈ R, and exponent n ∈ N

​Start with number “1” at the top, then continue placing numbers below by the sum of two consecutive numbers on the same row.

​Pascal's Triangle

​•Pascal’s triangle help to determine all coefficients of a binomial expansion. Where a, b ∈ R, and exponent n ∈ N

​Start with number “1” at the top, then continue placing numbers below by the sum of two consecutive numbers on the same row.

1x³(-2)⁰ + 3x²(-2)¹ + 3x¹(-2)² + 1x⁰(-2)³

1x³ + 3x²(-2) + 3x¹(4) + 1x⁰(-8)

x³ - 6x² + 12x - 8