What is factor x^{10}-x^5y^5-20y^{10} ?

The solution to factor x^{10}-x^5y^5-20y^{10} is (x^5+4y^5)(x^5-5y^5)

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factor x^{10}-x^5y^5-20y^{10}

factor

x^{10} - x^{5} y^{5} - 20 y^{10}

(x^{5} + 4 y^{5}) (x^{5} - 5 y^{5})

Solution steps

x^{10} - x^{5} y^{5} - 20 y^{10}

Break the expression into groups

= (x^{10} + 4 x^{5} y^{5}) + (- 5 x^{5} y^{5} - 20 y^{10})

Factor out

x^{5}

from

x^{10} + 4 x^{5} y^{5} : x^{5} (x^{5} + 4 y^{5})

Factor out

- 5 y^{5}

from

- 5 x^{5} y^{5} - 20 y^{10} : - 5 y^{5} (x^{5} + 4 y^{5})

= x^{5} (x^{5} + 4 y^{5}) - 5 y^{5} (x^{5} + 4 y^{5})

Factor out common term

x^{5} + 4 y^{5}

= (x^{5} + 4 y^{5}) (x^{5} - 5 y^{5})

3 sin^{2} (x) + 2 sin (x) - 5

(7 x^{2} + x) - (9 x^{2} + 4 x)^{'}

2 a x - 2 a y - b x + b y

y^{2} + 20 (y + 5)

What is factor x^{10}-x^5y^5-20y^{10} ?
The solution to factor x^{10}-x^5y^5-20y^{10} is (x^5+4y^5)(x^5-5y^5)