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Popular >

factor x^4-14x^2y^2-51y^4

Solution

factor

x^{4} - 14 x^{2} y^{2} - 51 y^{4}

Solution

(x^{2} + 3 y^{2}) (x^{2} - 17 y^{2})

Solution steps

x^{4} - 14 x^{2} y^{2} - 51 y^{4}

Break the expression into groups

= (x^{4} + 3 x^{2} y^{2}) + (- 17 x^{2} y^{2} - 51 y^{4})

Factor out

x^{2}

from

x^{4} + 3 x^{2} y^{2} : x^{2} (x^{2} + 3 y^{2})

Factor out

- 17 y^{2}

from

- 17 x^{2} y^{2} - 51 y^{4} : - 17 y^{2} (x^{2} + 3 y^{2})

= x^{2} (x^{2} + 3 y^{2}) - 17 y^{2} (x^{2} + 3 y^{2})

Factor out common term

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

= (x^{2} + 3 y^{2}) (x^{2} - 17 y^{2})

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Frequently Asked Questions (FAQ)

What is factor x^4-14x^2y^2-51y^4 ?
The solution to factor x^4-14x^2y^2-51y^4 is (x^2+3y^2)(x^2-17y^2)