What is expand (p+q)^3-p-q ?

The solution to expand (p+q)^3-p-q is p^3+3p^2q+3pq^2+q^3-p-q

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expand (p+q)^3-p-q

expand

(p + q)^{3} - p - q

p^{3} + 3 p^{2} q + 3 p q^{2} + q^{3} - p - q

Solution steps

(p + q)^{3} - p - q

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(p + q)^{3} = p^{3} + 3 p^{2} q + 3 p q^{2} + q^{3}

= p^{3} + 3 p^{2} q + 3 p q^{2} + q^{3} - p - q

\frac{( 1 - sec ^{2} ( x ) )}{( 1 - csc ^{2} ( x ) )}

12 \frac{x ^{2}}{y ^{2}} - 7 + 6 \frac{y ^{2}}{x ^{2}}

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sin (x) 1 - cos (x) sin (x) + 1 - cos (x)

(2 x^{3} \cdot y)^{6}

What is expand (p+q)^3-p-q ?
The solution to expand (p+q)^3-p-q is p^3+3p^2q+3pq^2+q^3-p-q