Subjects algebra

Binomial Expansion 376998

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Binomial Expansion 376998


1. The problem is to write a mathematical expression or solution "in full," which typically means expanding or expressing it completely without abbreviations or shortcuts. 2. Since the user did not specify the exact expression, let's consider a common example: expanding the binomial expression $(a+b)^2$. 3. The formula for the square of a binomial is: $$ (a+b)^2 = a^2 + 2ab + b^2 $$ 4. This formula comes from multiplying the binomial by itself: $$ (a+b)(a+b) = a\cdot a + a\cdot b + b\cdot a + b\cdot b = a^2 + ab + ba + b^2 $$ 5. Since $ab$ and $ba$ are the same, we combine them: $$ a^2 + 2ab + b^2 $$ 6. This is the full expanded form of $(a+b)^2$. If you have a specific expression you want written in full, please provide it!