Question

Consider polynomials A, B, and C, where A equals 'n', B equals '2n + 6', and C equals 'n² - 1'. What is the result of AB - C in its simplest form?

a.n² + 32 + 5
b.72 + 6n + 1
c.2n² + 6n - 1
d.3n² + 5

Answer 1

The result of AB - C is n² + 6n + 1.

Step-by-step explanation:

To find the result of AB - C, we need to substitute the given polynomials into the expression. A = n, B = 2n + 6, and C = n² - 1. We have:

AB - C = (n)(2n + 6) - (n² - 1)

Simplifying, we get:

AB - C = 2n² + 6n - n² + 1 = n² + 6n + 1

So, the result of AB - C in its simplest form is n² + 6n + 1.