Perform the indicated operations.
-$\frac { 3 x ^ { 2 } - 7 x - 6 } { y ^ { 2 } + 2 y - 3 } \cdot \frac { y ^ { 2 } + 3 y - 4 } { 9 x ^ { 2 } + 9 x + 2 } \div \frac { 3 x ^ { 2 } - 8 x - 3 } { 6 x ^ { 2 } - 7 x - 3 }$
A) $\frac { ( y + 4 ) } { ( y + 3 ) }$
B) $\frac { ( y + 4 ) ( 2 x - 3 ) } { ( y + 3 ) ( 3 x + 1 ) }$
C)1
D) $\frac { 3 x + 1 } { 2 x - 3 }$

Question

Quizplus · Accepted Answer

To solve this, first factorize each polynomial where possible. Then, simplify by canceling out common factors in the numerator and denominator across the entire expression. The correct simplification leads to choice B, $\frac { ( y + 4 ) ( 2 x - 3 ) } { ( y + 3 ) ( 3 x + 1 ) }$, after factoring and simplifying.

Perform the Indicated Operations A) (y+4)(y+3)\frac { ( y + 4 ) } { ( y + 3 ) }(y+3)(y+4)​

Perform the Indicated Operations A) $\frac { ( y + 4 ) } { ( y + 3 ) }$