Question

simplify.
$p3 - (p + 1)3$
​

Answer 1

$p ^{3} \times 3p + p {3} \times 3$

$3p ^{3} p + p^{3} \times 3$

$3p {3} { + }^{1} + p {3} \times 3$

$3p {4} + p {3} \times 3$

$3p {4} + 3p {3}$

solve...

Answer 2

Answer:

By using the formula,

[a³ + b³ = a3 + b3 + 3a2b + 3ab2]

By substituting in the above equation, we get

p3 – (p + 1)3 = p³ – (p³ + 3p² + 3p + 1)

= p³ – p³ – 3p² – 3p – 1

= – 3p² – 3p – 1