What is expand ((x+4)/(x^3+4x))^2 ?

The solution to expand ((x+4)/(x^3+4x))^2 is (x^2+8x+16)/(x^6+8x^4+16x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

\frac{x ^{2} + 8 x + 16}{x ^{6} + 8 x ^{4} + 16 x ^{2}}

Solution steps

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

Apply exponent rule:

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

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

(x^{3} + 4 x)^{2} = x^{6} + 8 x^{4} + 16 x^{2}

= \frac{( x + 4 ) ^{2}}{x ^{6} + 8 x ^{4} + 16 x ^{2}}

(x + 4)^{2} = x^{2} + 8 x + 16

= \frac{x ^{2} + 8 x + 16}{x ^{6} + 8 x ^{4} + 16 x ^{2}}

3 x^{3} (- ln (x) + c)

2 (83 + 37)

q (20 - \frac{q}{30})

\frac{6 s ^{2} \cdot + 50}{( s ^{2} + 4 ) ( s + 4 )}

What is expand ((x+4)/(x^3+4x))^2 ?
The solution to expand ((x+4)/(x^3+4x))^2 is (x^2+8x+16)/(x^6+8x^4+16x^2)