What is factor 3x^4-6x^2*a^2+3a^4 ?

The solution to factor 3x^4-6x^2*a^2+3a^4 is 3(x+a)^2(x-a)^2

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factor 3x^4-6x^2*a^2+3a^4

factor

3 x^{4} - 6 x^{2} \cdot a^{2} + 3 a^{4}

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

Solution steps

3 x^{4} - 6 x^{2} a^{2} + 3 a^{4}

Factor out common term

3 : 3 (x^{4} - 2 x^{2} a^{2} + a^{4})

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

Factor

x^{4} - 2 x^{2} a^{2} + a^{4} : (x + a) (x - a) (x + a) (x - a)

= 3 (x + a) (x - a) (x + a) (x - a)

Simplify

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

x + 1.2 x^{4} + 3 x^{3} + 6 x^{2} + 5 x + 6

80078 f 71 - 432 - 4 a^{4} e - b^{4} a^{2} - 24 f 67963539

\frac{1}{cot ^{2} ( x )} - \frac{1}{cos ^{2} ( x )}

x^{2} - y^{2} - 5 x + 5 y

4.4 d + 0.5 d^{2}

What is factor 3x^4-6x^2*a^2+3a^4 ?
The solution to factor 3x^4-6x^2*a^2+3a^4 is 3(x+a)^2(x-a)^2