Perform the indicated operation and express in lowest terms.
-$\frac{2 x+7}{x^{2}+4 x+3}-\frac{x+4}{x^{2}+4 x+3}$

A) $\frac{1}{x+1}$

B) $\frac{x+11}{x^{2}+4 x+3}$

C) $x+3$

D) $\frac{8}{x^{2}+4 x+3}$

Question

Perform the indicated operation and express in lowest terms.
-$\frac{2 x+7}{x^{2}+4 x+3}-\frac{x+4}{x^{2}+4 x+3}$

A) $\frac{1}{x+1}$

B) $\frac{x+11}{x^{2}+4 x+3}$

C) $x+3$

D) $\frac{8}{x^{2}+4 x+3}$

Quizplus · Accepted Answer

The given expression simplifies to $\frac{2x+7-(x+4)}{x^2+4x+3}$, which further simplifies to $\frac{x+3}{x^2+4x+3}$. Factoring the denominator as $(x+1)(x+3)$, the expression simplifies to $\frac{1}{x+1}$.

Perform the Indicated Operation and Express in Lowest Terms 2x+7x2+4x+3−x+4x2+4x+3\frac{2 x+7}{x^{2}+4 x+3}-\frac{x+4}{x^{2}+4 x+3}x2+4x+32x+7​−x2+4x+3x+4​

Perform the Indicated Operation and Express in Lowest Terms $\frac{2 x+7}{x^{2}+4 x+3}-\frac{x+4}{x^{2}+4 x+3}$