Simplify the rational expression. If the rational expression cannot be simplified, so state.
-$\frac { 15 x ^ { 2 } + 24 x + 9 } { 3 x + 3 }$
A) $\frac { 5 x + 3 } { 3 x }$
B) $\frac { 5 x + 24 } { 3 x + 5 }$
C) $5 x + 3$
D) Cannot be simplified

Question

Quizplus · Accepted Answer

The numerator $15x^2 + 24x + 9$ can be factored as $3(5x^2 + 8x + 3)$, which further factors into $3(5x + 3)(x + 1)$. The denominator $3x + 3$ can be factored as $3(x + 1)$. Canceling the common factor of $3(x + 1)$ from the numerator and the denominator simplifies the expression to $5x + 3$.

Simplify the Rational Expression 15x2+24x+93x+3\frac { 15 x ^ { 2 } + 24 x + 9 } { 3 x + 3 }3x+315x2+24x+9​

Simplify the Rational Expression $\frac { 15 x ^ { 2 } + 24 x + 9 } { 3 x + 3 }$