Question

Multiply. State any restrictions on the variable. 1. Simplify the rational expression.

Answer 1

Step 1

Write the expression

`\frac{x^2-13x\text{ + 40}}{x^2-25}\text{ }*\text{ }(x^2+6x+5)/(x^2-7x-8)`

Step 2:

`\begin{gathered} (x^2-8x-5x+40)/((x-5)(x+5))\text{ }*\text{ }\frac{x^2+x\text{ +5x+5}}{x^2+x\text{ -8x - 8}} \\ ((x-8)(x-5))/((x-5)(x+5))\text{ }*\text{ }((x+1)(x+5))/((x+1)(x-8)) \\ 1 \end{gathered}`

Final answer

1