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)
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.
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