Página inicial
/
Matemática
/
J) Simplify.Write Your Answer Using Whole Numbers and Variables. (n^2-12n+32)/(n-8) Square

Question

J) Simplify.Write your answer using whole numbers and variables. (n^2-12n+32)/(n-8) square

Solution

Verificación de expertos
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: