## anonymous one year ago What is the factored form of 64g^3 +8? Fan and Medal

1. anonymous

2. anonymous

3. anonymous

$a^3+b^3=\left( a+b \right)\left( a^2-ab+b^2 \right)$

4. anonymous

what is a?

5. anonymous

@surjithayer

6. anonymous

$64g^3=\left( 4g \right)^3$

7. anonymous

$8=2^3$

8. UsukiDoll

are you there @rose49 ?

9. anonymous

is it d

10. UsukiDoll

$64g^3+8$ hints: both of these terms have a number in common what is 8 x 8 ?

11. anonymous

64

12. UsukiDoll

oh sorry this is sum of cubes. yes 8 x 8 = 64 but I misread the question by accident

13. UsukiDoll

sum of cubes formula $(a+b)(a^2-ab+b^2)$

14. UsukiDoll

so we need to write this equation.. what is the cube root of 8 and the cube root of 64?

15. anonymous

2^3

16. campbell_st

64 = 4 x 4 x 4 g^3 = g x g x g the problem is the sum of of 2 cubes 8 = 2 x 2 x 2 so the factored form is $a^3 + b^3 = (a + b)(a^2 -ab + b^2)$

17. anonymous

wouldn't it be d

18. UsukiDoll

and cube root of g^3 ?

19. UsukiDoll

$64g^3 + 8 \rightarrow (4g)^3+2^3$ so a = 4g and b = 2 plug this into the sum of cubes equation

20. anonymous

i did and i got the answer d was i wrong?

21. UsukiDoll

I don't think so.. I think you're right but just to be sure $(4g+2)((4g)^2-4g(2)+4)$

22. UsukiDoll

$(4g+2)(16g^2-8g+4)$

23. UsukiDoll

yeah it is d

24. anonymous

okay thank you for the help i have one more to ask about

25. UsukiDoll

sure