Construct a Pascal's triangle to write a binomial expansion for a given positive integral exponent.
Antony Alwin M
4 Years agoGrade 11
1 Answer
Mayank Ranka
4 Years ago
Hi, Here’s your solution to construct a Pascal’s triangle so that you can write a binomial expansion Suppose your positive integral exponent is(a + b)n, where a + b is any binomial and n is a whole number. Look for patterns.
For any binomial a + b and any natural number n, (a + b)n= c0anb0+ c1an-1b1+ c2an-2b2+ .... + cn-1a1bn-1+ cna0bn, where the numbers c0, c1, c2,...., cn-1, cnare from the (n + 1)-st row of Pascal’s triangle.