Simplify.
-$\frac{3 x+2}{12 x^{2}+23 x+10}$
A) $\frac{3 x+4}{4 x+23}$
B) $\frac{1}{4 x+5}$
C) $\frac{3 x+2}{12 x^{2}+23 x+10}$
D) $\frac{3 \mathrm{x}}{4 \mathrm{x}+5}$

Question

Quizplus · Accepted Answer

The expression $\frac{3 x+2}{12 x^{2}+23 x+10}$ can be simplified by factoring the denominator as $12x^2 + 23x + 10 = (3x + 2)(4x + 5)$. The numerator is already in its simplest form. Thus, the expression simplifies to $\frac{3x+2}{(3x+2)(4x+5)}$, which further simplifies to $\frac{1}{4x+5}$ after canceling out the common factor of $3x+2$ in the numerator and denominator.

Simplify - 3x+212x2+23x+10\frac{3 x+2}{12 x^{2}+23 x+10}12x2+23x+103x+2​ A) 3x+44x+23\frac{3 x+4}{4 x+23}4x+233x+4​ B) 14x+5\frac{1}{4 x+5}4x+51​

Simplify
- $\frac{3 x+2}{12 x^{2}+23 x+10}$ A) $\frac{3 x+4}{4 x+23}$ B) $\frac{1}{4 x+5}$