Question

Write as a product:
p^2–(2p+1)^2

Answer 1

-(p + 1)(3p + 1)

Explanation:

p² – (2p+1)²

(p - 2p - 1)(p + 2p + 1)

(-p - 1)(3p + 1)

-(p + 1)(3p + 1)

Answer 2

Explanation:

a² - b² = (a + b)(a - b)

a= p ; b = 2p + 1

p² - (2p + 1)² = (p + 2p +1) (p - [2p+1] )

= (3p + 1) (p - 2p -1)

= (3p + 1)(-p - 1)