3x 1(x + 2)^2 = 3x 1x^2 + 2^2 + 2 × 2x 3x 1(x + 2)^2 = 3x 1x^2 + 4 + 4x Hence this is the answer. ...

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Division of a Polynomial by a Polynomial

Solve that: ...

Question

Solve that:
$\frac{3 x - 1}{(x + 2)^{2}}$

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Solution

$\frac{3 x - 1}{(x + 2)^{2}}$ $= \frac{3 x - 1}{x^{2} + 2^{2} + 2 \times 2 x}$

$\frac{3 x - 1}{(x + 2)^{2}}$ $= \frac{3 x - 1}{x^{2} + 4 + 4 x}$

Hence this is the answer.

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