## anonymous one year ago What is the product of the following after distributive property? 5y(2x-4)

1. jackthegreatest

2. anonymous

3. jackthegreatest

oh well there is only one step actually so ill just say the answer 10y squared - 20y

4. jackthegreatest

i couldnt figure out how to type a small 2

5. anonymous

Wait so its 20y?? Where did the x go...?

6. jim_thompson5910

|dw:1442547591243:dw|

7. jackthegreatest

oh sorry

8. jackthegreatest

10xy -20y

9. jackthegreatest

and @jim_thompson5910 she wanted the answer

10. jim_thompson5910

multiply the outer `5y` by each of the inner terms ( `2x` and `-4`) |dw:1442547636835:dw|

11. anonymous

Jim always shows me the steps and 10xy-20y??

12. jim_thompson5910

yeah it's 10xy-20y |dw:1442547701927:dw|

13. anonymous

I understand that now, thank you for explain in detail :) Also, could you let me know if i did this correct. What is the product of the following after multiplied by FOIL? (x+3)(x-7) = x^2-4x-21 ??

14. jim_thompson5910

(x+3)(x-7) = x^2-4x-21 is correct. You can use a table like this to verify |dw:1442548028096:dw|

15. jim_thompson5910

|dw:1442548058486:dw|

16. anonymous

Thank you :) I have one final question that im not to sure how to do. Factor the polynomial first by gcf followed by factorimg the trinomial. Please describe your steps. 2x^2-6x-36

17. jim_thompson5910

whats the GCF of 2,6, and 36

18. anonymous

6?

19. jim_thompson5910

6 isn't a factor of 2

20. anonymous

Omg i meant 2 im so sorry

21. jim_thompson5910

so we can factor out 2 to get 2*(....) what goes in the blank?

22. anonymous

X^2-3x-18

23. jim_thompson5910

yes

24. jim_thompson5910

now factor x^2 - 3x - 18

25. anonymous

Would it be x-15?? Idk what to do

26. jim_thompson5910

|dw:1442548228029:dw|

27. jim_thompson5910

|dw:1442548239717:dw|

28. anonymous

(X-6)(x+3) ?!?!

29. jim_thompson5910

very good

30. jim_thompson5910

so overall, the entire thing factors to 2(x-6)(x+3)

31. anonymous

Is the answer 2(x-6)(x+3)? If so thank you for all of your help

32. jim_thompson5910

yeah it is

33. anonymous

Thanks!!

34. jim_thompson5910

yw