Question

Simplify the following into their lowest form: $\frac{6x^2+9x}{3x^2-12x}$

• A. $\frac{2x+3}{x-4}$
• B. $\frac{2x-3}{x-4}$
• C. $\frac{2x+3}{x+4}$
• D. None of these

Answer 1

Answer: (A)

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

The given expression $\frac{6x^2+9x}{3x^2-12x}$ can be simplified as shown below:

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

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

$=\frac{2x+3}{x-4}$

Hence, $\frac{6x^2+9x}{3x^2-12x}=\frac{2x+3}{x-4}$.