To expand: the expression
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Answer to Problem 37E
Explanation of Solution
Concept Used:
Pascal’s triangle:
The nth row of Pascal’s triangle gives the coefficients of
Consider the given expression
First use fourth row of Pascal’s triangle to evaluate
The binomial coefficients from the fourth row of Pascal’s Triangle are 1, 4, 6, 4, 1.
(Since here the binomial is representing difference rather than sum, so the signs will be alternate)
So, the expansion is:
Now, use second row of Pascal’s triangle to evaluate
The binomial coefficients from the second row of Pascal’s Triangle are 1, 2, 1.
(Since here the binomial is representing difference rather than sum, so the signs will be alternate)
So, the expansion is:
Thus,
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
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