What is factor x^4-17x^2y^2-84y^4 ?

The solution to factor x^4-17x^2y^2-84y^4 is (x^2+4y^2)(x^2-21y^2)

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factor x^4-17x^2y^2-84y^4

factor

x^{4} - 17 x^{2} y^{2} - 84 y^{4}

(x^{2} + 4 y^{2}) (x^{2} - 21 y^{2})

Solution steps

x^{4} - 17 x^{2} y^{2} - 84 y^{4}

Break the expression into groups

= (x^{4} + 4 x^{2} y^{2}) + (- 21 x^{2} y^{2} - 84 y^{4})

Factor out

x^{2}

from

x^{4} + 4 x^{2} y^{2} : x^{2} (x^{2} + 4 y^{2})

Factor out

- 21 y^{2}

from

- 21 x^{2} y^{2} - 84 y^{4} : - 21 y^{2} (x^{2} + 4 y^{2})

= x^{2} (x^{2} + 4 y^{2}) - 21 y^{2} (x^{2} + 4 y^{2})

Factor out common term

x^{2} + 4 y^{2}

= (x^{2} + 4 y^{2}) (x^{2} - 21 y^{2})

\frac{( 24 z ^{2} - 12 z + 6 )}{( - 6 )}

x^{2} - ∣ x ∣ - \frac{12}{x} - 3

(64 a^{2})^{\frac{1}{6}}

u^{2} - 5 u - 6

(a - b)^{2} + (- a + b)^{2}

What is factor x^4-17x^2y^2-84y^4 ?
The solution to factor x^4-17x^2y^2-84y^4 is (x^2+4y^2)(x^2-21y^2)