## anonymous one year ago medal! how do you "factor each sum or difference of cubes" ?

1. anonymous

example problem:$a^3+125$

2. Nnesha

Hint:$\huge\rm a^3 +b^3 = (a^2-ab+b^2)$ |dw:1433689078046:dw| for signs remember SOAP Same Opposite AP)always positive

3. mathmate

lol I like that!

4. anonymous

i remember doing that in class but i can't remember how to do it.

5. Nnesha

|dw:1433689307137:dw|

6. Nnesha

thanko o^_^o lel

7. anonymous

so a +5?

8. Nnesha

yes right |dw:1433689641678:dw|

9. Nnesha

|dw:1433689720969:dw|

10. anonymous

$(a-5)(a^2+5a+25)$

11. anonymous

and thats the answer?

12. Nnesha

nope that answer choice is not correct.

13. Nnesha

remember? SOAP?

14. Nnesha

|dw:1433689856556:dw| same means same sign that is in original question

15. anonymous

wait, is it a+5?

16. Nnesha

yes right

17. anonymous

yay! thank you!

18. anonymous

so for one that is $a^3+27$

19. anonymous

the answer would be $(a+3)(a^2+3a+9)$

20. Nnesha

-.- SOAP ????????

21. Nnesha

check signs

22. anonymous

$(a+3)(a^2-3a+9) sorry$

23. Nnesha

yep that's right :-)

24. Nnesha

alright gtg i'm hungry o^_^o gO_Od luck!

25. anonymous

thank you!