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What is the relationship between Pascal triangle and binomial theorem?
The coefficients of the binomial expansion of (1 + x)n for a positive integer n is the nth row of Pascal's triangle.
What is the comparison between pascal triangle expansion and binominal expansion?
Pascal's triangle shows the constant for each term if the equation is (x+y) to a number, which is the line number in Pascal's triangle, for a binomial expansion you can use Pascal's triangle but you have to multiply that by the constants on x and y raised to x's and y's exponent multiplied by the number the binomial is being raised to. (ax^b + cy^d) ^e = the number in Pascal's triangle for e times (a^ (b times e)) times (c ^(d times e)) which gives the constant for that term
What is the significance of Pascal's triangle?
It generates binomial coefficients.
What is another name for pascals triangle?
The expanded binomial is another name for Pascal's triangle.
What did Blaise Pascal invent?
Blaise Pascal (France, 1623-1662) His inventions include the hydraulic press and the syringe.Hope this helps!Pascal was a mathematician in the 17th century. He described Pascal's Triangle, possibly one of the easiest methods of binomial expansion.
