What is factor y^4-x^4 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor y^4-x^4

factor

y^{4} - x^{4}

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

Solution steps

y^{4} - x^{4}

y^{4} = (y^{2})^{2}

x^{4} = (x^{2})^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Factor

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

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

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

\frac{( x - 6 )}{( x + 7 )} < 1

- 312 + 33 + 320

\frac{2 π}{\frac{7}{2}}

x - \frac{4}{5} = 7