What is (x^2-y^2)/(x^4-y^4) ?

The solution to (x^2-y^2)/(x^4-y^4) is 1/(x^2+y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (x^2-y^2)/(x^4-y^4)

simplify

\frac{x ^{2} - y ^{2}}{x ^{4} - y ^{4}}

\frac{1}{x ^{2} + y ^{2}}

Solution steps

\frac{x ^{2} - y ^{2}}{x ^{4} - y ^{4}}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

x^{2} - y^{2} = (x + y) (x - y)

= \frac{( x + y ) ( x - y )}{x ^{4} - y ^{4}}

Factor

x^{4} - y^{4} : (x^{2} + y^{2}) (x + y) (x - y)

= \frac{( x + y ) ( x - y )}{( x ^{2} + y ^{2} ) ( x + y ) ( x - y )}

Cancel the common factor:

x + y

= \frac{x - y}{( x ^{2} + y ^{2} ) ( x - y )}

Cancel the common factor:

x - y

= \frac{1}{x ^{2} + y ^{2}}

\frac{4}{5 - 2}

sin (θ) + cot (θ) cos (θ)

f (x) x^{3}

(x^{2} + 2) (x^{2} + 2)

What is (x^2-y^2)/(x^4-y^4) ?
The solution to (x^2-y^2)/(x^4-y^4) is 1/(x^2+y^2)