What is expand (3p-4q)^3 ?

The solution to expand (3p-4q)^3 is 27p^3-108p^2q+144pq^2-64q^3

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expand (3p-4q)^3

expand

(3 p - 4 q)^{3}

27 p^{3} - 108 p^{2} q + 144 p q^{2} - 64 q^{3}

Solution steps

(3 p - 4 q)^{3}

Apply Perfect Cube Formula:

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

(3 p - 4 q)^{3} = (3 p)^{3} - 3 (3 p)^{2} \cdot 4 q + 3 \cdot 3 p (4 q)^{2} - (4 q)^{3}

= (3 p)^{3} - 3 (3 p)^{2} \cdot 4 q + 3 \cdot 3 p (4 q)^{2} - (4 q)^{3}

Simplify

(3 p)^{3} - 3 (3 p)^{2} \cdot 4 q + 3 \cdot 3 p (4 q)^{2} - (4 q)^{3} : 27 p^{3} - 108 p^{2} q + 144 p q^{2} - 64 q^{3}

= 27 p^{3} - 108 p^{2} q + 144 p q^{2} - 64 q^{3}

\frac{101}{2} \times \frac{13}{7} \times \frac{42}{5}

(a + b)^{3} - 8 \cdot (a - b)^{3}

3 x + 6 x - 2 x - 4 x

lo g_{10} (x + 2) + lo g_{10} (7 x - 1)

\frac{( 4 - 2 n )}{( n ( n + 3 ) )} - \frac{( 1 - 3 n )}{( n ( n + 3 ) )}

What is expand (3p-4q)^3 ?
The solution to expand (3p-4q)^3 is 27p^3-108p^2q+144pq^2-64q^3