Question

Simplify this,(p-5)^2-49​

Answer 1

(p - 12)(p + 2)

Explanation:

(p-5)² - 49​ =

= (p - 5 - 7)(p - 5 + 7)

= (p - 12)(p + 2)

a² - b² = (a - b)(a + b)

a = p - 5

b = 49

Answer 2

(p - 12)(p + 2) or

p^2 - 10p - 24.

Explanation:

We use the Difference of 2 Squares Identity.

a^2 - b^2 = (a - b)(a + b).

So (p - 5)^2 - 49

= (p - 5 - 7)(p - 5 + 7)

= (p - 12)(p + 2)

= p^2 - 10p - 24.