A student is asked to factor, if possible, the given expression. The student's response demonstrates which common misconception?
Simplify: a2 + b2 Student's response: (a + b)(a − b)
1 answer:
Answer:
The student assumed he was asked to factor
(a^2 - b^2)
Which is equal to
= (a+b)*(a-b) (His response)
But, he was asked to simplify
(a^2 + b^2)
Which has imaginary roots, and can be factored as:
(b +ai)(b-ai)
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