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Pascal's triangle how it it used in binomial expansion?
You can find the coefficients of an expanded binomial using the numbers in Pascal's triangle. 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 These are a few rows of Pascals triangle. Now let's look at a few binomials, expanded to the second and third powers. (a+b)2=a2 +2(ab) + b2 notice the coefficients are the numbers in the second row of the triangle above. (a+b)3= a3+3(a2b)+3(ab2)+b3 and once again note that the coefficients are the numberin the third line of Pascal's triangle. The first line, by the way, which is 1,1 is the coefficient of (a+b)1 This will work for any power of the binomial. There are generalized form for non-integer powers.
How does a pie chart look like?
i looks circular like
What does a histogram look like?
I hate math
What does a pie chart look like?
looks like yo mamas butt
What does 6.5 million look like?
As a number: 6,500,0006,500,000
Does engineers use calculators?
look up pascal's triangle. i built one out of knex.
What did the moon look like on the 22nd of January 2011?
what did the moom look like on 22nd of January 2011
What are facts about pascal's triangle?
you always start with 1 at the top and then you have to add theat and that . Look at the diagram :
What does the 19 row of pascal's triangle look like?
The rth term in the 19th row is 19Cr = 19!/[r!*(19-r)!] where k! = 1*2*3*...*k
What does a congruent triangle look like?
If a triangle is congruent to another triangle, they are exactly the same. therefore, a congruent triangle can look like anything.
What does the triangle in pool look like?
it looks like a triangle
What does an isoscles triangle look like?
a triangle ;)
What shape when you look at it from the top looks like a circle and when you look at it from thefront it looks like a triangle and when you look at it from the side it looks like a triangle?
A Cone
Whet is an isocolese triangle look like?
An isocolese triangle is look like two sides are same long.
What does a triangle pyramid look like?
It looks like a 3-D triangle.
What are some cool fact on pascals 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.
What is a triangle look like?
a cone
