Question

The quotient of (p^2 – 9) divided by p + 3 is​

Answer 1

Answer:

(p² - 9)/(p + 3) = p - 3

Step-by-step explanation:

We have,

(p² - 9)/(p + 3)

Now,

p² - 9 = (p)² - (3)²

Using the identity,

a² - b² = (a + b)(a - b)

So,

p² - 9 = (p + 3)(p - 3)

Then we get,

(p² - 9)/(p + 3)

= [(p + 3)(p - 3)]/(p + 3)

Cancelling out the common factor,

= p - 3

Hence,

(p² - 9)/(p + 3) = p - 3

Hope it helped and believing you understood it. All the best.