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Division of a Polynomial by a Polynomial

Simplify: 6...

Question

Simplify: $\frac{6 x^{2} + 9 x}{3 x^{2} - 12 x}$

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Solution

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

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Q. Simplify the following into their lowest form:

\frac{6 x^{2} + 9 x}{3 x^{2} - 12 x}

Let A = 3 y^{2} + 9 x - 3 x^{2}, B = 6 x^{2} - 2 y^{2} + 3 x, C = 9 x^{2} - 3 x y - y^{2} . Find A + B - C.

\frac{(x - 5) (x - 3) (x^{2} - 9 x + 14)}{(x^{2} - 12 x + 35) (x - 3)}

.

\frac{3 x^{2} - x - 2}{x^{2} - 7 x + 12} \div \frac{3 x^{2} - 7 x - 6}{x^{2} - 4}

lim x \to 3 \frac{x^{2} - 9}{x^{3} - 6 x^{2} + 9 x + 1}

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