Maths-
General
Easy
Question
Expand using Pascal’s triangle.
The correct answer is: Hence, the expansion is,
ANSWER:
Hint:
Pascal's Triangle is a method to know the binomial coefficients of terms of binomial expression (x + y)n, where n can be any positive integer and x,y are real numbers. Pascal Triangle is represented in a triangular form, it is kind of a number pattern in the form of a triangular arrangement.
We are asked to find the expansion of using the Pascal’s triangle.
Step 1 of 2:
The given expression is . Here, n=3. Thus, the number of terms in the expansion would be n+1=3+1=4.
We have to fourth line of the pascal’s triangle to get the coefficients.
Step 2 of 2:
Thus, analyzing the figure, we get the expansion of as:
Hence, the expansion is,
Note:
The answer can be found using the binomial theorem where .
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