## anonymous one year ago I'll FAN & MEDAL!!! Factor the expression 8x^3y − 8x^2y − 30xy.

1. anonymous

Do you have a basic idea as to what to do?

2. anonymous

no

3. anonymous

Ok.. let's start off w/ the basics: You need to simplify this crazy expression by factoring out the GCF of this expression.

4. anonymous

Do you know what "GCF" stands for?

5. anonymous

greatest common factor

6. anonymous

Correct ! So, what do you think would be the GCF of this expression?

7. anonymous

2xy

8. anonymous

Correct.. wow you know how to do this!! Do you know how to factor "2xy" w/ this expression? Or is there where you get stumped?

9. anonymous

yeah i got lost right there

10. anonymous

|dw:1436457892829:dw| This is how you factor it out.. basically dividing polynomials.

11. anonymous

Is it clear?

12. anonymous

no not really

13. anonymous

From where? Ask me where you don't get it. :)

14. anonymous

We need to factor OUT the GCF from the expression. By dividing.

15. anonymous

I don't get why we are dividing. Like if it was x^2-x+25 Then it would be (x-5)(x+5)

16. anonymous

Like im not used to dividing when factoring expressions

17. anonymous

That is a trinomial... that's different :)

18. anonymous

oh ok

19. anonymous

Wait, no. After factoring out the GCF, it doesn't go away.. you'll see what I'll do... before putting it into that final parenthesis, you need to factor out any GCF's you see

20. anonymous

|dw:1436458437754:dw|

21. anonymous

Do you see what I did there?

22. anonymous

NOW I will be applying the factoring by trinomials method.

23. anonymous

The "2xy(" off to the side will remain there.

24. anonymous

so it would be 2xy(2x-3)(2x+5)

25. anonymous

Correct!

26. anonymous

Congrats :)

27. anonymous

Thank you soo much! :)

28. anonymous

Np! I love factoring haha