What is ((1-x^2)^2)/(((1.41x)^2+(1-x^2)^2)^2) ?

The solution to ((1-x^2)^2)/(((1.41x)^2+(1-x^2)^2)^2) is ((1-x^2)^2)/((x^4-0.0119x^2+1)^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((1-x^2)^2)/(((1.41x)^2+(1-x^2)^2)^2)

simplify

\frac{( 1 - x ^{2} ) ^{2}}{( ( 1.41 x ) ^{2} + ( 1 - x ^{2} ) ^{2} ) ^{2}}

\frac{( 1 - x ^{2} ) ^{2}}{( x ^{4} - 0.0119 x ^{2} + 1 ) ^{2}}

Solution steps

\frac{( 1 - x ^{2} ) ^{2}}{( ( 1.41 x ) ^{2} + ( 1 - x ^{2} ) ^{2} ) ^{2}}

Simplify

(1.41 x)^{2} : 1.9881 x^{2}

= \frac{( 1 - x ^{2} ) ^{2}}{( 1.9881 x ^{2} + ( 1 - x ^{2} ) ^{2} ) ^{2}}

Expand

(1 - x^{2})^{2} : 1 - 2 x^{2} + x^{4}

= \frac{( 1 - x ^{2} ) ^{2}}{( 1.9881 x ^{2} + 1 - 2 x ^{2} + x ^{4} ) ^{2}}

Group like terms

= \frac{( 1 - x ^{2} ) ^{2}}{( x ^{4} + 1.9881 x ^{2} - 2 x ^{2} + 1 ) ^{2}}

Add similar elements:

1.9881 x^{2} - 2 x^{2} = - 0.0119 x^{2}

= \frac{( 1 - x ^{2} ) ^{2}}{( x ^{4} - 0.0119 x ^{2} + 1 ) ^{2}}

- x^{2} e^{- x} [1 + \frac{2}{2}]

e^{- 1000 \cdot 4}

e^{- rc t}

(\frac{3}{4} z^{3} x^{4}) (\frac{8}{3} x^{2} z)

76 (30 0^{- 0.24}) (40 0^{0.25})

What is ((1-x^2)^2)/(((1.41x)^2+(1-x^2)^2)^2) ?
The solution to ((1-x^2)^2)/(((1.41x)^2+(1-x^2)^2)^2) is ((1-x^2)^2)/((x^4-0.0119x^2+1)^2)