What is factor (y^4+5y^2+6)/(4y^5+12y^3) ?

The solution to factor (y^4+5y^2+6)/(4y^5+12y^3) is (y^2+2)/(4y^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (y^4+5y^2+6)/(4y^5+12y^3)

factor

\frac{y ^{4} + 5 y ^{2} + 6}{4 y ^{5} + 12 y ^{3}}

\frac{y ^{2} + 2}{4 y ^{3}}

Solution steps

\frac{y ^{4} + 5 y ^{2} + 6}{4 y ^{5} + 12 y ^{3}}

Factor

y^{4} + 5 y^{2} + 6 : (y^{2} + 2) (y^{2} + 3)

= \frac{( y ^{2} + 2 ) ( y ^{2} + 3 )}{4 y ^{5} + 12 y ^{3}}

Factor out common term

4 y^{3} : 4 y^{3} (y^{2} + 3)

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

Cancel the common factor:

y^{2} + 3

= \frac{y ^{2} + 2}{4 y ^{3}}

x^{4} + 3 x^{3} - x^{2} + x + 4

\frac{9}{- 4 i}

- 3 x^{2} + 6 x + 24

\frac{9}{36}

\frac{1}{3 x - 1} < \frac{2}{x + 5}

What is factor (y^4+5y^2+6)/(4y^5+12y^3) ?
The solution to factor (y^4+5y^2+6)/(4y^5+12y^3) is (y^2+2)/(4y^3)