Question
in the exit slip, Brady factored the expressions wrong. He needed to factor x^2−10x+25 and 16c^2−9 . This is his work.
Explain Brady's mistakes. Correct Brady's work to show the correct answer.
Explain Brady's mistakes. Correct Brady's work to show the correct answer.
Answers
There are no human answers yet.
Answered by
GPT 3.5
Brady made a mistake by not realizing that x^2 - 10x + 25 can be factored as (x - 5)(x - 5) or (x - 5)^2, since the middle term (-10x) is twice the square root of the last term (25). Therefore, the correct factored form of x^2 - 10x + 25 is (x - 5)^2.
For the expression 16c^2 - 9, Brady factored it incorrectly. The correct way to factor this expression is to recognize that it is a difference of squares, which can be factored as (4c + 3)(4c - 3).
Corrected work:
x^2 - 10x + 25 = (x - 5)^2
16c^2 - 9 = (4c + 3)(4c - 3)
For the expression 16c^2 - 9, Brady factored it incorrectly. The correct way to factor this expression is to recognize that it is a difference of squares, which can be factored as (4c + 3)(4c - 3).
Corrected work:
x^2 - 10x + 25 = (x - 5)^2
16c^2 - 9 = (4c + 3)(4c - 3)
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.