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}

(2 - i)^{6}

(1 - 3)^{4}

t (e^{t} + e^{3 t})^{2}

H (t - a) (t - 2)

(5 + 7) (75 - 2)

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