In the exit slip, Brody factored the expression wrong. He needed to factor x^2 - 10x + 25 and 16c^2 -9. His is work below:
x^2 - 10x + 25 = x^2 - 10x + 5^2
= x^2 -2 (x) (5) + 5^2
= (x + 5) (x -5)
16c^2 - 9 = (4c)^2 - (3)^2
= (4c -3)^2
Explain Brady's mistakes. Correct Brady's work to show the correct answer
It looks like Brody made a couple of mistakes while factoring the expressions.
For x^2 - 10x + 25:
Brody incorrectly factored 25 as 5^2. The correct way to factor it would be 25 = 5^2, but then he used -2(x)(5) instead of -2(x)(5) which should be -2(x)(5) = -10x instead of x^2 -2 (x) (5) + 5^2. The correct factorization should be:
x^2 - 10x + 25 = (x - 5)(x - 5) = (x - 5)^2
For 16c^2 - 9:
Brody incorrectly factored 9 as 3^2. The correct way to factor it would be 9 = 3^2, but then he used (4c)^2 - (3)^2 which should be (4c)^2 - (3)^2 = (4c + 3)(4c - 3) instead of (4c - 3)^2. The correct factorization should be:
16c^2 - 9 = (4c)^2 - 3^2 = (4c + 3)(4c - 3)
Hope this helps!