Which of the following is equal to (n - 3)^2 if n = 11?
A. (n + 6) (n - 6)
B. (n + 5) (n - 7)
C. (n + 4) (n - 8)
D. (n + 3) (n - 9)
E. (n + 2) (n - 10)
if n=11, then (n-3)^2 = 64
A) is 17(5) ≠64
B) is 16(4) = 64 ahhhh!!!
I assume there is only one answer, but check the others anyway.
Yup, you're right Reiny, it is B.
no need to do FOIL, just sub in n=11
(n-3)^2
= (11-3)^2
= 8^2
= 64
now just put n=11 into the different choices for answers
Do I first FOIL (n - 3)^2, then put = 64?
Oh okay. I see. Thank you Reiny
To determine which expression is equal to (n - 3)^2 when n is equal to 11, we substitute the value of n into each expression and simplify.
Let's analyze each option:
A. (n + 6) (n - 6)
Substituting n = 11, we get: (11 + 6) (11 - 6) = 17 * 5 = 85
B. (n + 5) (n - 7)
Substituting n = 11, we get: (11 + 5) (11 - 7) = 16 * 4 = 64
C. (n + 4) (n - 8)
Substituting n = 11, we get: (11 + 4) (11 - 8) = 15 * 3 = 45
D. (n + 3) (n - 9)
Substituting n = 11, we get: (11 + 3) (11 - 9) = 14 * 2 = 28
E. (n + 2) (n - 10)
Substituting n = 11, we get: (11 + 2) (11 - 10) = 13 * 1 = 13
After evaluating each expression with n = 11, we can see that none of them is equal to (n - 3)^2. Therefore, none of the options are correct.