Question

Simplify your answer completely (36-n²) / (n²-2n-48)*(n²-8n-33)/(n²-3n-18)

Answer 1

To simplify the expression (36-n²) / (n²-2n-48)*(n²-8n-33)/(n²-3n-18), factor each quadratic expression and cancel out the common factors.

Step-by-step explanation:

To simplify the expression (36-n²) / (n²-2n-48)*(n²-8n-33)/(n²-3n-18), we can factor each quadratic expression and cancel out the common factors. The factored form of each quadratic expression is:

(36-n²) = (6+n)(6-n)

(n²-2n-48) = (n-8)(n+6)

(n²-8n-33) = (n-11)(n+3)

(n²-3n-18) = (n-6)(n+3)

After factoring, we can cancel out the common factors and simplify the expression to:

(6+n)(n-8) / (n-6)(6-n)