Question 43: Parse the polynomial \(\begin{aligned} &\text { } x^{2}(m+n)-3 y^{2}(m+n) \end{aligned}\) into multiplier:

A. \((x-\sqrt{3} y)(x+\sqrt{3} y)\)

B. \((m+n)(x-3 y)(x+3 y)\)

C. \((m+n)(x-\sqrt{3} y)(x+\sqrt{3} y)\)

D. \((mn)(x-\sqrt{3} y)(x+\sqrt{3} y)\)

\(\begin{aligned} &\text { } x^{2}(m+n)-3 y^{2}(m+n) \\ &= (m+n)\left(x^{2 }-3 y^{2}\right) \\ &= (m+n)(x-\sqrt{3} y)(x+\sqrt{3} y) \end{aligned}\)

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