What is p^3+9q^3+(p+q)^3 ?

The solution to p^3+9q^3+(p+q)^3 is 2p^3+10q^3+3p^2q+3pq^2

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simplify p^3+9q^3+(p+q)^3

simplify

p^{3} + 9 q^{3} + (p + q)^{3}

2 p^{3} + 10 q^{3} + 3 p^{2} q + 3 p q^{2}

Solution steps

p^{3} + 9 q^{3} + (p + q)^{3}

Expand

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

= p^{3} + 9 q^{3} + p^{3} + 3 p^{2} q + 3 p q^{2} + q^{3}

Group like terms

= p^{3} + p^{3} + 9 q^{3} + q^{3} + 3 p^{2} q + 3 p q^{2}

Add similar elements:

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

= 2 p^{3} + 9 q^{3} + q^{3} + 3 p^{2} q + 3 p q^{2}

Add similar elements:

9 q^{3} + q^{3} = 10 q^{3}

= 2 p^{3} + 10 q^{3} + 3 p^{2} q + 3 p q^{2}

\frac{1}{( x + 5 ) - 8}

(x + 7) (x^{2} + 5)

(\frac{x + y}{2 + 1})^{2}

(7 a - 5 a^{26} a + 2) + (- 4 a^{3} + 6 a^{2} + 7 a - 1)

l^{3} \cdot (m - n)^{3} + m^{3} \cdot (n - l)^{3} + n^{3} \cdot (l - m)^{3}

What is p^3+9q^3+(p+q)^3 ?
The solution to p^3+9q^3+(p+q)^3 is 2p^3+10q^3+3p^2q+3pq^2