Simplify this, (p-5) ^2-49

Question

Mathematics

Jagger Robbins

27 March, 02:17

Simplify this, (p-5) ^2-49

+4

Answers (2)

Know the Answer?

Keira Hickman · Answer 1

(p - 12) (p + 2)

Step-by-step 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

Campbell Russell · Answer 2

(p - 12) (p + 2) or

p^2 - 10p - 24.

Step-by-step 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.