In a DC circuit consisting of two resistors in series, the power P delivered to resistor R₂ is \( \frac{V^{2} R_{2}}{\left ( R_{1} + R_{2} \right )^{2}} . \) If V and R₁ are constants, what is the value of R₂ that priduces a maximum power in this resistor ?

A R₂ = R₁

B R₂= - R₁

C R₂ = 2R₁