A box has volume (3x-1)^2\text{ cm}^3. Its rectangular base has dimensions x\text{ cm} by (x+2)\text{ cm}. Find an expression for the height of the box in cm, simplifying your answer into partial fractions.

9-\dfrac{35}{2x}+\dfrac{23}{2(x+2)}

9+\dfrac{1}{2x}-\dfrac{49}{2(x+2)}

9-\dfrac{23}{2x}+\dfrac{35}{2(x+2)}

9+\dfrac{23}{2x}+\dfrac{35}{2(x+2)}

AM-1373

Partial fractions

A Math · Secondary 4 · Medium · Partial fractions

A box has volume

(3x-1)^2\text{ cm}^3

. Its rectangular base has dimensions

x\text{ cm}

(x+2)\text{ cm}

. Find an expression for the height of the box in cm, simplifying your answer into partial fractions.

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