What is expand (-5p-3q)^3 ?

The solution to expand (-5p-3q)^3 is -125p^3-225p^2q-135pq^2-27q^3

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expand (-5p-3q)^3

expand

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

- 125 p^{3} - 225 p^{2} q - 135 p q^{2} - 27 q^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

(- 5 p - 3 q)^{3} = (- 5 p)^{3} - 3 (- 5 p)^{2} \cdot 3 q + 3 (- 5 p) (3 q)^{2} - (3 q)^{3}

= (- 5 p)^{3} - 3 (- 5 p)^{2} \cdot 3 q + 3 (- 5 p) (3 q)^{2} - (3 q)^{3}

Simplify

(- 5 p)^{3} - 3 (- 5 p)^{2} \cdot 3 q + 3 (- 5 p) (3 q)^{2} - (3 q)^{3} : - 125 p^{3} - 225 p^{2} q - 135 p q^{2} - 27 q^{3}

= - 125 p^{3} - 225 p^{2} q - 135 p q^{2} - 27 q^{3}

\frac{9 ^{x} - ( a ^{3} ) ^{x} - a + 5}{4}

x + y - 1.5 y - 2.5 x

\frac{( 5 ^{n} \cdot 5 ^{3} + 5 ^{n} )}{( 5 ^{n} \cdot 5 ^{- 1} \cdot 5 ^{1} )}

\frac{( 2 x + 3 \cdot 2 - 6 x + \frac{9}{4} x ^{2} - 99 - x ^{2} + 12 x - 3 )}{12 x}

p^{2} q^{2} - 64 a^{4}

What is expand (-5p-3q)^3 ?
The solution to expand (-5p-3q)^3 is -125p^3-225p^2q-135pq^2-27q^3