Maths-
General
Easy
Question
Expand using binomial theorem.
The correct answer is: Thus, the expansion is:
ANSWER:
Hint:
The binomial expansion is , here .
We are asked to find the binomial expansion of using binomial theorem.
Step 1 of 2:
The given expression is . . The value of n=3. Thus, the number of terms would be n+1=3+1=4.
Step 2 of 2:
Substitute the values in the expression to get the terms of the binomial expansion;
Thus, the expansion is:
Note:
The answer can be found using the Pascal’s triangle. For , we would consider the (n+1) th row as the coefficients.
Related Questions to study
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If an event has a probability of success p and a probability of failure q , then each term inthe expansion of(p+q)n represents a probability. For example , if a basketball player makes 60% of his free throw attempts , p= 0.6 and q= 0.4. To find the probability the basketball player will make exactly h out of k free throws, find where a coefficient of row k of Pascal’s triangle is, p is the probability of success, and q is the probability of failure.
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