Apply Binomial Square Formula: To expand the expression (a−b)2, we will apply the formula for the square of a binomial, which is (x−y)2=x2−2xy+y2, where x and y are any two terms.
Substitute a and b: Let's substitute a for x and b for y in the binomial square formula: (a−b)2=a2−2ab+b2.
Expand Terms: Now we will expand the terms according to the formula: (a−b)2=a2−2⋅a⋅b+b2.
Final Result: We have successfully expanded the binomial without making any mathematical errors. The expanded form of (a−b)2 is a2−2ab+b2.
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