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DIA [1.3K]
3 years ago
14

Which polynomial is equivalent to this expression if n≠-1n≠-1? 3+n−2n21+n?

Mathematics
2 answers:
Irina18 [472]3 years ago
7 0
I suppose that the expression you wanted to write is \frac{3+n-2n^2}{1+n}. If so, then we have:

\frac{3+n-2n^2}{1+n}= \frac{3+3n-2n-2n^2}{1+n}  \\  \\ = \frac{3(1+n)-2n(1+n)}{1+n} = \frac{(3-2n)(1+n)}{1+n}  \\  \\ =3-2n
Masja [62]3 years ago
5 0

Answer:

Equivalent Polynomial of given polynomial is 3 - 2n.

Step-by-step explanation:

We are given following polynomial:

\frac{3+n-2n^2}{1+n}

We have top find equivalent polynomial such that n ≠ -1

Consider,

\frac{3+n-2n^2}{1+n}

=\frac{3+3n-2n-2n^2}{1+n}

=\frac{3(1+n)-2n(1+n)}{1+n}

=\frac{(1+n)(3-2n)}{1+n}

=3-2n

Therefore, Equivalent Polynomial of given polynomial is 3 - 2n.

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