What is factor u^4-u^2v^2-20v^4 ?

The solution to factor u^4-u^2v^2-20v^4 is (u^2+4v^2)(u^2-5v^2)

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factor u^4-u^2v^2-20v^4

factor

u^{4} - u^{2} v^{2} - 20 v^{4}

(u^{2} + 4 v^{2}) (u^{2} - 5 v^{2})

Solution steps

u^{4} - u^{2} v^{2} - 20 v^{4}

Break the expression into groups

= (u^{4} + 4 u^{2} v^{2}) + (- 5 u^{2} v^{2} - 20 v^{4})

Factor out

u^{2}

from

u^{4} + 4 u^{2} v^{2} : u^{2} (u^{2} + 4 v^{2})

Factor out

- 5 v^{2}

from

- 5 u^{2} v^{2} - 20 v^{4} : - 5 v^{2} (u^{2} + 4 v^{2})

= u^{2} (u^{2} + 4 v^{2}) - 5 v^{2} (u^{2} + 4 v^{2})

Factor out common term

u^{2} + 4 v^{2}

= (u^{2} + 4 v^{2}) (u^{2} - 5 v^{2})

t^{2} - 49 = 0

\frac{1}{\frac{1}{20} + \frac{1}{10}}

\frac{- i}{- i}

(\frac{6}{7}) (\frac{6}{7}) (\frac{5}{7})^{3}

- 2 x^{2} + 8 x - 4

What is factor u^4-u^2v^2-20v^4 ?
The solution to factor u^4-u^2v^2-20v^4 is (u^2+4v^2)(u^2-5v^2)