Question

factorise(x+2)^2+p^2+2p(x+2)

Answer 1

Can you give me image of this auestion

Answer 2

Answer:

(x + 2 + p)*(x + 2 + p)

Step-by-step explanation:

Hi,

Given expression is (x + 2)² + p² + 2p(x + 2),

which can be written as

(x + 2)² + 2p(x + 2) + p²

Splitting 2p(x + 2) into 2 parts, we get

= (x + 2)² + p(x + 2) + p(x + 2) + p²

Taking (x +2) common out from first 2 terms and

p common from last 2 terms, we get

= (x + 2)[(x + 2) + p] + p[(x + 2) + p]

Taking (x + 2 + p) as common, we get

= (x + 2 + p)*(x + 2 + p)

Hope, it helps !