## Pologirl19 Simplify the sum one year ago one year ago

1. Pologirl19

$\frac{ {w^2 +2w -24} }{w^2 +w -30 }+\frac{ 8 }{ w - 5 }$

2. Pologirl19

I really need help!!

3. mjr632

$\frac{a}{b}+\frac{c}{d} = \frac{a*d+b*c}{b*d}$ $\frac{(w^2+2w-24)*(w-5)+(w^2+w-30)*8}{(w^2+w-30)*(w-5)}$ $(w-5)(w^2+2w-24)=w^3+2w^2-24w-5w^2-10w+120\\ = w^3-3w^2-34w+120\\ \\ (w^2+w-30) * 8 = 8w^2+8w-240\\ (w^2+w-30)(w-5)=w^3+w^2-30w-5w^2+-5w+150 \\ = w^3-4w^2-35w+150\\$ $\frac{(w^3-3w^2-34w+120)+(8w^2+8w-240)}{w^3-4w^2-35w+150}$ $\frac{w^3+5w^2-26w-120}{w^3-4w^2-35w+150}$

4. mjr632

Is this what you needed?

5. Pologirl19

No that is none of the answers on mine

6. Pologirl19

$\frac{ w-4 }{ w-5 }$

7. Pologirl19

$\frac{ w^2+2w-16 }{ w^2+w-30 }$

8. Pologirl19

w+4 $\frac{ w+4 }{w-5 }$

9. Pologirl19

10. Hero

Wow @mjr632...

11. Hero

$\frac{(w + 6)(w - 4)}{(w + 6)(w - 5)}+\frac{ 8 }{ w - 5 }$

12. Hero

$\frac{\cancel{(w + 6)}(w - 4)}{\cancel{(w + 6)}(w - 5)}+\frac{ 8 }{ w - 5 }$

13. Hero

$\frac{w - 4}{w - 5}+\frac{ 8 }{ w - 5 }$

14. Hero

$\frac{w + 8 - 4}{w - 5}$ @Pologirl19 , I'm sure you can finish it from there

15. Pologirl19

Thank thank you so much in my book it made no sense

16. Hero

You're welcome