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AURORKA [14]
3 years ago
6

If there is a parallelogram with one pair of opposite sides that are congruent and another pair that is parallel, how do I prove

it is a parallelogram?​
Mathematics
1 answer:
dybincka [34]3 years ago
3 0

Simply state that it is a parallelogram according to the parallelogram theorm. If you need the segments here's an example (A ≈ B and C ≈ D) thats it!

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Answer:

The factor form is n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)

Step-by-step explanation:

When it is required to factor the expression given in the problem, we have to first find a common term or terms, which will be found by either grouping the like terms or the splitting of the terms.

Now the expression that is given here is:

n^4 +8n^2 + 15

Now, here we will take:

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Thus we will get:

n^4 +8n^2 + 15\\=u^2+8u+15

Now we will do the middle term split as follows:

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Substituting back u=n^2 , we will have:

\left(u+3\right)\left(u+5\right)\\=\left(n^2+3\right)\left(n^2+5\right)

Hence, the required factor form of the given expression will be:

n^4+8n^2+15 = \quad \left(n^2+3\right)\left(n^2+5\right)

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