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Flauer [41]
3 years ago
8

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)
Mathematics
1 answer:
dlinn [17]3 years ago
8 0

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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