Question
J) Simplify.Write your answer using whole numbers and variables. (n^2-12n+32)/(n-8) square
Solution
3.8
(217 Votos)
Tiago
Elite · Tutor por 8 anos
Resposta
To simplify the expression
, we need to factor the numerator and see if it has a common factor with the denominator.First, let's factor the quadratic expression in the numerator:
We are looking for two numbers that multiply to 32 and add up to -12. These numbers are -4 and -8 because:
So, we can factor the quadratic as:
Now, substitute this factored form back into the original expression:
Since
is a common factor in both the numerator and the denominator, we can cancel it out (assuming
to avoid division by zero):
Therefore, the simplified form of the given expression is: