Multiply Rational Expressions
-$$\frac { x ^ { 2 } - 6 x + 5 } { x ^ { 2 } - 11 x + 18 } \cdot \frac { x ^ { 2 } - 6 x + 8 } { x ^ { 2 } - 13 x + 40 }$$

Question

Quizplus · Accepted Answer

To solve this, factor each polynomial and simplify. The numerator of the first fraction $x^2 - 6x + 5$ factors to $(x-1)(x-5)$, and the denominator $x^2 - 11x + 18$ factors to $(x-9)(x-2)$. The numerator of the second fraction $x^2 - 6x + 8$ factors to $(x-2)(x-4)$, and the denominator $x^2 - 13x + 40$ factors to $(x-8)(x-5)$. After canceling the common factors $(x-5)$ and $(x-2)$, we are left with $\frac{(x-1)(x-4)}{(x-9)(x-8)}$, which matches choice A.

Multiply Rational Expressions - x2−6x+5x2−11x+18⋅x2−6x+8x2−13x+40\frac { x ^ { 2 } - 6 x + 5 } { x ^ { 2 } - 11 x + 18 } \cdot \frac { x ^ { 2 } - 6 x + 8 } { x ^ { 2 } - 13 x + 40 }x2−11x+18x2−6x+5​⋅x2−13x+40x2−6x+8​

Multiply Rational Expressions
- $\frac { x ^ { 2 } - 6 x + 5 } { x ^ { 2 } - 11 x + 18 } \cdot \frac { x ^ { 2 } - 6 x + 8 } { x ^ { 2 } - 13 x + 40 }$