Factorize the Expression x⁴ + x²y² + y⁴

Factorize the following expression : \(x^4 + x^2y^2 + y^4\)

\[ x^4 + x^2y^2 + y^4 \] \[ = x^4 + 2x^2y^2 + y^4 – x^2y^2 \] \[ = (x^2 + y^2)^2 – (xy)^2 \] \[ = (x^2 + y^2 – xy)(x^2 + y^2 + xy) \]

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