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Blaise Pascal (June 19, 1623 - August 19, 1662), a French mathematician, physicist, inventor, philosopher and writer.

Its derivation goes back to Pythagoras' figurative numbers and various forms of the triangle were 'discovered' by Chinese, Arabic and Hindu mathematicians. Pascal collected together this previous work in a treatise and applied it to problems in probability theory. The triangle was subsequently named after him (after his death, I believe).

I believe that he did really 'discover' the 3-D version, Pascal's Pyramid.

Q: Who discovered Pascal's triangle and binomial expansion?

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Expansion of the Binomial a+b

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.

The expanded binomial is another name for Pascal's triangle.

Pascal's triangle is a triangular array where each number is the sum of the two numbers above it. The numbers in the triangle have many interesting patterns and relationships, such as the Fibonacci sequence appearing diagonally. Additionally, the coefficients of the binomial expansion can be found in Pascal's triangle, making it a useful tool in combinatorics and probability.

Pascal's triangle

Related questions

Expansion of the Binomial a+b

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.

The expanded binomial is another name for Pascal's triangle.

in the 11th century...

to find out the coefficent for binomial expression, to check values like nCr

Pascal's triangle is a triangular array where each number is the sum of the two numbers above it. The numbers in the triangle have many interesting patterns and relationships, such as the Fibonacci sequence appearing diagonally. Additionally, the coefficients of the binomial expansion can be found in Pascal's triangle, making it a useful tool in combinatorics and probability.

The binomial expansion is the expanded form of the algebraic expression of the form (a + b)^n.There are slightly different versions of Pascal's triangle, but assuming the first row is "1 1", then for positive integer values of n, the expansion of (a+b)^n uses the nth row of Pascals triangle. If the terms in the nth row are p1, p2, p3, ... p(n+1) then the binomial expansion isp1*a^n + p2*a^(n-1)*b + p3*a^(n-2)*b^2 + ... + pr*a^(n+1-r)*b^(r-1) + ... + pn*a*b^(n-1) + p(n+1)*b^n

Pascal's triangle

It was discovered first by a Persian Mathematician named Al-Karaji, then followed by numerous other people from places such as China.

pascal

The Sierpinski Triangle

pascals triangle is used to solve math problems that have chance of 2 different outcomes, such as flipping a coin