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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
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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.
When was pascals triangle invented?
Pascal's triangle is the geometric arrangement of binominal coefficients in a triangle. The earliest depiction of such a triangle occured in the 10th century in the Chandas Shastra, an ancient Indian commentary written by Pingala, sometime between the 5th and 2nd centuries BC.In mathematics, Pascal's triangle is a triangular array of the binomial coefficients. It is named after the French mathematician Blaise Pascal in much of the Western world, although other mathematicians studied it centuries before him in India, Iran, China, Germany, and Italy.
Is a ratio a comparison between two ratios?
A ratio is a comparison between two values. The values can be integers or fractions (ratios).
What is the difference between a triangle and a cone?
A triangle is 2D, and has a square base. A cone is 3D, and has a circular base.
Is there a difference between an equilateral triangle and an equiangular triangle?
Interestingly, no. . .
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.
When was pascals triangle invented?
Pascal's triangle is the geometric arrangement of binominal coefficients in a triangle. The earliest depiction of such a triangle occured in the 10th century in the Chandas Shastra, an ancient Indian commentary written by Pingala, sometime between the 5th and 2nd centuries BC.In mathematics, Pascal's triangle is a triangular array of the binomial coefficients. It is named after the French mathematician Blaise Pascal in much of the Western world, although other mathematicians studied it centuries before him in India, Iran, China, Germany, and Italy.
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