Question

Determine which steps are used to find the product shown. Put the steps in the order in which they would t‡2+7=+10[2 + 35 + 2.=2+41+412 + 65 + 5

Answer 1

Step-by-step explanation:

The given expression is

`(x^2+7x+10)/(x^2+4x+4)\cdot(x^2+3x+2)/(x^2+6x+5)`

Then, to simplify, we need to factorize each polynomial as

x² + 7x + 10 = (x + 2)(x + 5)

x² + 4x + 4 = (x + 2)(x + 2)

x² + 3x + 2 = (x + 1)(x + 2)

x² + 6x + 5 = (x + 5)(x + 1)

So, the first step is to replace each expression with their factors

`((x+2)(x+5))/((x+2)(x+2))\cdot((x+1)(x+2))/((x+5)(x+1))`

Now, we can simplify the fractions, so

`((x+5))/((x+2))\cdot((x+2))/((x+5))`

Then, multiply the fractions and simplify

`\begin{gathered} ((x+5)(x+2))/((x+2)(x+5)) \\ \\ 1 \end{gathered}`

Answer:

Therefore, the answer is