Question

Expand each of the following, using suitable identities
$(p+1{)}^3$

Answer 1

We need to find value of $(p+1{)}^3$

Suitable identities is $(x+y{)}^3=x^3+3x^{2}y+3x{y}^2+y^3$

Here $x=p$ and $y=1$

Therefore, value of $(p+1{)}^3$ is

$=(p{)}^3+3(p{)}^2\left(1\right)+3\left(p\right)(1{)}^2+(1{)}^3$

$=p^3+3p^2+3p+1$