## anonymous one year ago Find the product and simplify 4y/(y^2-81) × (y+9)/2y^2

1. anonymous

2y3 y−9

2. anonymous

Thats not one of the options ):

3. anonymous

.....

4. anonymous

@Learner11

5. anonymous

2y3/y-9?

6. anonymous

Thats not one of the choices..

7. anonymous

sorry :(

8. anonymous

Thats ok.

9. anonymous

wait @ashley9337 . I think I can do it

10. anonymous

Okay thank you !!

11. anonymous

@imqwerty

12. anonymous

Can you tag me when you figure it out? Thank you

13. anonymous

oh! ok . sure :)

14. anonymous

@imqwerty

15. anonymous

@SyedMohammed98

16. imqwerty

$\frac{ 2 }{ y(y-9) }$

17. anonymous

Thank you so much!

18. imqwerty

np :)

19. anonymous

@imqwerty can you explain it to me ?

20. imqwerty

ok :)

21. anonymous

@imqwerty can you help me with 3 more problems?

22. imqwerty

$\frac{ 4y }{ y^2-81 }\times \frac{ y+9 }{ 2y^2 }$ use the identity a^2 - b^2=(a+b)(a-b) in here - y^2 -81 u et-$\frac{ 4y }{ (y+9)(y-9) }\times \frac{ y+9 }{2y^2}$cut out the common things from numerator and denominator u get-$\frac{ 2 }{ y(y-9) }$

23. imqwerty

ok

24. anonymous

What is the least commonn denominator for 3/x and 2/4xy

25. anonymous

oh ! OK . Got it @imqwerty

26. imqwerty

least common divisor is the least common multiple. its 4xy

27. anonymous

Oh okay i understand. There a harder one that i have no idea about, find the lcd for x^2/(x^2+4x+3) and 2x/ (x^2+x-6)

28. anonymous

@imqwerty

29. imqwerty

x^2+4x+3 --->(x+3)(x+1) x^2+x-6------>(x+3)(x-2) so the lcd wuld be (x+3)(x-2)(x+1)

30. anonymous

Thank you for explaining it! okay can you help me with one last question

31. imqwerty

ok :)

32. anonymous

Find the quotient and show all work please so i can understand how to do it :) x^2-6x/7 ÷ x-6/x

33. imqwerty

ok :)

34. imqwerty

$\frac{ x^2-6x }{ 7}\div \frac{ (x-6) }{ x}$ we know that $a \div b =a \times \frac{ 1 }{ b }$ so we get - $\frac{ x^2-6x }{ 7 } \times \frac{ x }{ (x-6) }$ take x common from x^2-6x u get->x(x-6) $\frac{ x(x-6) }{ 7 } \times \frac{ x }{ x-6 }$$\frac{ x^2 }{ 7 }$

35. anonymous

So the answer is x^2/7 right? Thank you so much for explaining it all.to me, i understand it now :)