What is expand (4e-3f)^3 ?

The solution to expand (4e-3f)^3 is -27f^3+108ef^2-144e^2f+64e^3

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expand (4e-3f)^3

expand

(4 e - 3 f)^{3}

- 27 f^{3} + 108 e f^{2} - 144 e^{2} f + 64 e^{3}

Solution steps

(4 e - 3 f)^{3}

Apply Perfect Cube Formula:

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

a = 4 e, b = 3 f

= (4 e)^{3} - 3 (4 e)^{2} \cdot 3 f + 3 \cdot 4 e (3 f)^{2} - (3 f)^{3}

Simplify

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

= 64 e^{3} - 144 e^{2} f + 108 e f^{2} - 27 f^{3}

Rewrite in standard form

= - 27 f^{3} + 108 e f^{2} - 144 e^{2} f + 64 e^{3}

(2 e^{3 x} + e^{- 3 x})^{2}

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\frac{( 1 - cos ( x ) ) ^{2}}{x}

\frac{3 x + 5}{( x - 1 ) ( x ^{4} + 7 )}

(x + b x)^{2} + 25

What is expand (4e-3f)^3 ?
The solution to expand (4e-3f)^3 is -27f^3+108ef^2-144e^2f+64e^3