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

The solution to expand (5a-3x)^3 is 125a^3-225xa^2+135ax^2-27x^3

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expand (5a-3x)^3

expand

(5 a - 3 x)^{3}

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

Solution steps

(5 a - 3 x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

a^{6} \cdot b^{12}

- 1^{k} \cdot k

(- 3.6) y (- 2.4)

\frac{( 56 x ^{2} \cdot ( x + y ) )}{( 63 x \cdot ( x + y ) ^{3} )}

\frac{( x - 3 )}{( x - 4 )} + \frac{( x - 4 )}{( x + 3 )}

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