What is factor x^2*y^2+x^3*y^3+x^5+y^5 ?

The solution to factor x^2*y^2+x^3*y^3+x^5+y^5 is (x^2+y^3)(x^3+y^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^2y^2+x^3y^3+x^5+y^5

factor

x^{2} \cdot y^{2} + x^{3} \cdot y^{3} + x^{5} + y^{5}

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

Solution steps

x^{2} y^{2} + x^{3} y^{3} + x^{5} + y^{5}

Group by common factors

= x^{5} + x^{3} y^{3} + x^{2} y^{2} + y^{5}

= (x^{5} + x^{3} y^{3}) + (x^{2} y^{2} + y^{5})

Factor out

x^{3}

from

x^{5} + x^{3} y^{3} : x^{3} (x^{2} + y^{3})

Factor out

y^{2}

from

x^{2} y^{2} + y^{5} : y^{2} (x^{2} + y^{3})

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

Factor out common term

x^{2} + y^{3}

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

\frac{n !}{( n - r + 2 ) ! ( n + 2 ) !}

(\frac{8}{2} x - \frac{7}{4} y)^{3}

(2 r^{- 3}) (2 r^{0})

(x^{3})^{\frac{1}{5}}

2 x^{4} - x^{3} - 6 x^{2} - x + 2

What is factor x^2*y^2+x^3*y^3+x^5+y^5 ?
The solution to factor x^2*y^2+x^3*y^3+x^5+y^5 is (x^2+y^3)(x^3+y^2)