Express the rational expression in lowest terms.
-$\frac{y^{2}-2 y-15}{y^{2}+12 y+27}$

A) $\frac{-2 y+15}{12 y-12}$

B) $-\frac{y^{2}-2 y-15}{y^{2}+12 y+27}$

C) $\frac{-2 y-15}{12 y+27}$

D) $\frac{y-5}{y+9}$

Question

Express the rational expression in lowest terms.
-$\frac{y^{2}-2 y-15}{y^{2}+12 y+27}$

A) $\frac{-2 y+15}{12 y-12}$

B) $-\frac{y^{2}-2 y-15}{y^{2}+12 y+27}$

C) $\frac{-2 y-15}{12 y+27}$

D) $\frac{y-5}{y+9}$

Quizplus · Accepted Answer

The given expression can be simplified by factoring both the numerator and the denominator. The numerator $y^2 - 2y - 15$ factors into $(y-5)(y+3)$, and the denominator $y^2 + 12y + 27$ factors into $(y+3)(y+9)$. Simplifying the expression by canceling out the common factor $(y+3)$ gives $\frac{y-5}{y+9}$.

Express the Rational Expression in Lowest Terms y2−2y−15y2+12y+27\frac{y^{2}-2 y-15}{y^{2}+12 y+27}y2+12y+27y2−2y−15​ A) −2y+1512y−12\frac{-2 y+15}{12 y-12}12y−12−2y+15​

Express the Rational Expression in Lowest Terms $\frac{y^{2}-2 y-15}{y^{2}+12 y+27}$ A) $\frac{-2 y+15}{12 y-12}$