(05.02) simplify completely quantity 6 x squared minus 54 x plus 84 over quantity 8 x squared minus 40 x plus 48 divided by quantity x squared plus x minus. (2 points)

Step-by-step explanation:

The given expression is

We need to factor each quadratic expression

First, we extract the GCF 6:

Then, we look for two numbers which product is 14 and which sum is 9, thos numbers are 7 and 2, so the factored expression is

We do the same process,

We need to find two numbers which product is 6 and which sum is 5, those numbers are 3 and 2

We have to find two numbers which product is 56, and which difference is 1, those numbers are 8 and 7

Replacing all factors in the given expression, we have

Therefore, the answer is

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step-by-step explanation: