If the top row of Pascal's triangle is "1 1", then the nth row of Pascals triangle consists of the coefficients of x in the expansion of (1 + x)n.
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The coefficients of the binomial expansion of (1 + x)n for a positive integer n is the nth row of Pascal's triangle.
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
It generates binomial coefficients.
The expanded binomial is another name for Pascal's triangle.
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.