dont exactly know what happened here in part i (1 Viewer)

SCREW L+S · Jun 7, 2022

kinda confused any clarification wud help, i wud just long divide kinda long but works so yh but dk wut happened here in part i

thanks in advance

5uckerberg · Jun 7, 2022

Here is the interesting part. The way how they wrote it is because expand the denominator and then you will have $\frac{2x^{2}+1}{x^{2}+x-2}$ .
Notice the $x^{2}$ terms at all it is simply $\frac{2x^{2}}{x^{2}}$ which will simplify to 2 and then knowing that $\frac{2x^{2}+1}{x^{2}+x-2}=2-\frac{2x-5}{x^{2}+x-2}$ we will simplify $\frac{2x-5}{x^{2}+x-2}$ . How did we get this you might be wondering $2-\frac{2x-5}{x^{2}+x-2}$ well the two comes from $2x^{2}+2x-4$ you know multiplying the denominator by 2 because we are assuming that both the numerator and the denominator are $x^{2}+x-2$ so therefore how we got this part $-\frac{2x-5}{x^{2}+x-2}$ is really just a balancing act to get the desired fraction on the LHS.

If you are finding anything confusing here feel free to reply to the message requesting a further explanation and someone will help you out.

SCREW L+S · Jun 10, 2022

5uckerberg said:
Here is the interesting part. The way how they wrote it is because expand the denominator and then you will have $\frac{2x^{2}+1}{x^{2}+x-2}$ .
Notice the $x^{2}$ terms at all it is simply $\frac{2x^{2}}{x^{2}}$ which will simplify to 2 and then knowing that $\frac{2x^{2}+1}{x^{2}+x-2}=2-\frac{2x-5}{x^{2}+x-2}$ we will simplify $\frac{2x-5}{x^{2}+x-2}$ . How did we get this you might be wondering $2-\frac{2x-5}{x^{2}+x-2}$ well the two comes from $2x^{2}+2x-4$ you know multiplying the denominator by 2 because we are assuming that both the numerator and the denominator are $x^{2}+x-2$ so therefore how we got this part $-\frac{2x-5}{x^{2}+x-2}$ is really just a balancing act to get the desired fraction on the LHS.

If you are finding anything confusing here feel free to reply to the message requesting a further explanation and someone will help you out.

I still don't really get it can you expand on it a bit more, I kinda get it but that's using long div, and getting a constant as "A"

dont exactly know what happened here in part i (1 Viewer)

SCREW L+S

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5uckerberg

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SCREW L+S

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