What is expand ((4e-7f))^3 ?

The solution to expand ((4e-7f))^3 is -343f^3+588ef^2-336e^2f+64e^3

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expand ((4e-7f))^3

expand

((4 e - 7 f))^{3}

- 343 f^{3} + 588 e f^{2} - 336 e^{2} f + 64 e^{3}

Solution steps

(4 e - 7 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 = 7 f

= (4 e)^{3} - 3 (4 e)^{2} \cdot 7 f + 3 \cdot 4 e (7 f)^{2} - (7 f)^{3}

Simplify

(4 e)^{3} - 3 (4 e)^{2} \cdot 7 f + 3 \cdot 4 e (7 f)^{2} - (7 f)^{3} : 64 e^{3} - 336 e^{2} f + 588 e f^{2} - 343 f^{3}

= 64 e^{3} - 336 e^{2} f + 588 e f^{2} - 343 f^{3}

Rewrite in standard form

= - 343 f^{3} + 588 e f^{2} - 336 e^{2} f + 64 e^{3}

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

\frac{( 2 x + 3 ) ( x - 1 )}{2}

\frac{( 6 + x ^{2} + 5 x ) ^{2}}{( a + 2 )}

(3 c - 4 e) 2 (- 3 c - 4 d)

- \frac{1000}{( s - 1 ) ( s + 1 ) ( s + 20 )}

What is expand ((4e-7f))^3 ?
The solution to expand ((4e-7f))^3 is -343f^3+588ef^2-336e^2f+64e^3