Simplify quantity x squared plus 5 x plus 6 end quantity over quantity x plus 2 x2 + 1 x2 − 1 x + 3 x − 3

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Step-by-step explanation:

To simplify:

To simplify the given expression we need to factor the numerator.

We have

Using split the middle term method by splitting into two terms and such that and

We see that [ and ]

Thus we can write

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Factoring in pairs by taking the GCF of terms in pairs.

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Factoring the whole expression as is a common factor.

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Now, the expression can be rewritten as:

Canceling out the common expressions, we have.

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step-by-step explanation: