Question

(x+2p)³-(x²-2p)³ simplify​

Answer 1

Answer:

⇒ 16p³ + 24p²x

Step-by-step explanation:

Given :

To simplify :

(x + 2p)³ - (x² - 2p)³

Solution :

We know that,

(a + b)³ - (a - b)³ = [a³ + b³ + 3ab(a + b) ] - [a³ - b³ - 3ab(a - b)]

⇒ 2b³ + 3ab[(a + b) + (a - b)]

⇒ 2b³ + 6ab²

By substituting,

a = x,

b = 2p

We get,

⇒ 2(2p)³ + 6(x)(2p)²

⇒ 16p³ + 24p²x