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

The solution to expand (5p-3a)^3 is 125p^3-225p^2a+135pa^2-27a^3

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expand (5p-3a)^3

expand

(5 p - 3 a)^{3}

125 p^{3} - 225 p^{2} a + 135 p a^{2} - 27 a^{3}

Solution steps

(5 p - 3 a)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

a^{3} + a^{- 3}

12 a^{2} + 18 a

(2 \frac{a}{b} - \frac{b}{2} a)^{2}

\frac{n ( n + 1 )}{2 - 2 ^{n} + 1}

\frac{\frac{( 12 x - 9 y )}{3}}{2}

What is expand (5p-3a)^3 ?
The solution to expand (5p-3a)^3 is 125p^3-225p^2a+135pa^2-27a^3