jukeu2buhu 3 years ago Im trying to finish an assignment, but learning this section is online is a little difficult, can someone help me? The first question asks me to simplify [(t^2+6t)/(t-1)]-[(7)/(t-1)] and I've simplified it to [(t(t+6))/(t-1)]+[(-7)/(t-1)] but I dont know what to do here. I have common denominators and I think I can cancel t out from the left left side problem from the top and bottom but Im not sure. Help please?

1. jukeu2buhu

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2. apple_pi

$\frac{ t^2+6t }{ t-1 }-\frac{7}{t-1}=\frac{ t^2+6t - 7}{ t-1 }=\frac{(t-1)(t+6)}{t-1}=t+6$

3. jukeu2buhu

why dont i factor t out?

4. apple_pi

you could, but that wouldn't do anything. You have yourself a quadratic in the numerator, so just factor the whole thing. That way the denominator cancels out

5. jukeu2buhu

ok so for example $[(4x+4)/(x(x+1)]-[(11x)/(x(x+1)] is then [(4x+4-11x)/(x(x+1)]$

6. jukeu2buhu

what did u you to write like that?

7. apple_pi

yes, and you have a quadratic in the numerator and factor this to cancel with the denominator

8. apple_pi

press the equation button just under the bit where you reply

9. jukeu2buhu

so its (4-7x)/(x(x+1))

10. jukeu2buhu

i tried that and it doesnt look like that on my screen

11. apple_pi

Bottom left of screenshot. Press this then enter equation