What is factor x^4+a^2x^2+b^2x^2+a^2b^2 ?

The solution to factor x^4+a^2x^2+b^2x^2+a^2b^2 is (a^2+x^2)(x^2+b^2)

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factor x^4+a^2x^2+b^2x^2+a^2b^2

factor

x^{4} + a^{2} x^{2} + b^{2} x^{2} + a^{2} b^{2}

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

Solution steps

x^{4} + a^{2} x^{2} + b^{2} x^{2} + a^{2} b^{2}

Factor

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

Factor

b^{2} x^{2} + a^{2} b^{2} : b^{2} (x^{2} + a^{2})

= x^{2} (x^{2} + a^{2}) + b^{2} (x^{2} + a^{2})

Factor out common term

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

= (a^{2} + x^{2}) (x^{2} + b^{2})

12 x^{3} - 36 x^{2} + 27 x - 75 x y^{2}

(x^{\frac{1}{2}})^{\frac{2}{3}}

25 m^{2} + 10 m + 1

\frac{m ^{2} - 100}{m - 10}

\frac{3}{2} \cdot 3

What is factor x^4+a^2x^2+b^2x^2+a^2b^2 ?
The solution to factor x^4+a^2x^2+b^2x^2+a^2b^2 is (a^2+x^2)(x^2+b^2)