Which of the following is equivalent to (a − b)²? a) a² – b² b) a² + b² c) a² + 2ab + b² d) a² – 2ab + b²
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Which of the following is equivalent to (a − b)²? a) a² – b² b) a² + b² c) a² + 2ab + b² d) a² – 2ab + b²
The correct answer is d) a² – 2ab + b².
To explain briefly, the expression (a − b)² is a perfect square and can be expanded using the formula (x − y)² = x² − 2xy + y². Here, x = a and y = b.
So, when you apply the formula:
(a − b)² = a² − 2ab + b².
This shows that option d is indeed the equivalent expression. If you need further assistance, feel free to ask!