5-16 ■ Pascal’s Triangle Use Pascal’s triangle to expand the expression.
The expansion of the expression using Pascal’s triangle.
In the expansion of the expression , there will be terms. The first term will be and last term will be . The power of decrease by from term to term and the power of increase by 1 from term to term. The sum the power of and the power of will be in all the terms. In each term there is one coefficient and that can be written with the help of Pascal’s triangle.
The Pascal’s triangle for the coefficients in the expansion of is as follows,
Therefore, the expansion of the expression is as follows,
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