The binomial expansion of the expression is .
Further explanation:
It is given that the expression is .
Now, the expansion of the expression is simplified using binomial theorem.
The binomial is a polynomial with only two terms. The binomial theorem is used to simplify the algebraic expansion of any power of a binomial expression.
Now, consider and as the numbers and the binomial expression becomes . If the power is assumed to be , then the binomial expression is .
The binomial expression is expanded as follows:
For any positive integer ,the expanded form is given below.
For non-negative integers and
with , the expression is where, .
The expression is expanded using the binomial theorem as follows:
Simplify the above equation as follows:
Thus, the binomial expansion of the expression is .
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Answer Details:
Grade: Junior High School
Subject: Mathematics
Chapter: Binomial Theorem
Keywords: Binomial theorem, linear equation, system of linear equations in two variables, , expression, theorem, expansion