What is factor 3x^4+2x^2y^2-y^4 ?

The solution to factor 3x^4+2x^2y^2-y^4 is (3x^2-y^2)(x^2+y^2)

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factor 3x^4+2x^2y^2-y^4

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

x^{2}

from

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

Factor out

y^{2}

from

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

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

Factor out common term

3 x^{2} - y^{2}

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

(a + b)^{2} + c

\frac{8 ^{2} x x ^{3}}{y ^{- 6}}

(a + b) (c + d)^{3}

6 + 8 + 2 y + 4 y

(\frac{1}{( x - 4 )}) + x

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