en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (4/(2-5x))^3

Solution

expand

(\frac{4}{2 - 5 x})^{3}

Solution

\frac{64}{8 - 60 x + 150 x ^{2} - 125 x ^{3}}

Solution steps

(\frac{4}{2 - 5 x})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{4 ^{3}}{( 2 - 5 x ) ^{3}}

(2 - 5 x)^{3} = 8 - 60 x + 150 x^{2} - 125 x^{3}

= \frac{4 ^{3}}{8 - 60 x + 150 x ^{2} - 125 x ^{3}}

4^{3} = 64

= \frac{64}{8 - 60 x + 150 x ^{2} - 125 x ^{3}}

Popular Examples

expand (7(x+h)^2)/2 expand

\frac{7 ( x + h ) ^{2}}{2}

expand (cos(a)+cos(b))(cos(a)-cos(b))expand

(cos (a) + cos (b)) (cos (a) - cos (b))

expand (Ax+B)(x^4+2x^3+5x^2+4x+4)(x^6+3x^4+3x^2+1)expand

(A x + B) (x^{4} + 2 x^{3} + 5 x^{2} + 4 x + 4) (x^{6} + 3 x^{4} + 3 x^{2} + 1)

expand (x^2+2)/((x-2)(x-3)(x-4))expand

\frac{x ^{2} + 2}{( x - 2 ) ( x - 3 ) ( x - 4 )}

expand 32e^t*U(t-4)expand

32 e^{t} \cdot U (t - 4)

Frequently Asked Questions (FAQ)

What is expand (4/(2-5x))^3 ?
The solution to expand (4/(2-5x))^3 is (64)/(8-60x+150x^2-125x^3)