What is factor y^6-x^4 ?

The solution to factor y^6-x^4 is (y^3+x^2)(y^3-x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor y^6-x^4

factor

y^{6} - x^{4}

(y^{3} + x^{2}) (y^{3} - x^{2})

Solution steps

y^{6} - x^{4}

y^{6} = (y^{3})^{2}

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

= (y^{3})^{2} - (x^{2})^{2}

Apply Difference of Two Squares Formula:

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

(y^{3})^{2} - (x^{2})^{2} = (y^{3} + x^{2}) (y^{3} - x^{2})

= (y^{3} + x^{2}) (y^{3} - x^{2})

a^{2} b^{2} - c^{2}

x^{2} - 1

(d^{7})^{6}

6 \cdot \frac{4}{5}

250