Question

What is the factored form of 64g^3 +8? Fan and Medal

Answer 1

the answers are below

Answer 2

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

Answer 3

what is a?

Answer 4

@surjithayer

Answer 5

\[64g^3=\left( 4g \right)^3\]

Answer 6

\[8=2^3\]

Answer 7

are you there @rose49 ?

Answer 8

is it d

Answer 9

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

Answer 10

64

Answer 11

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

Answer 12

sum of cubes formula
\[(a+b)(a^2-ab+b^2) \]

Answer 13

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

Answer 14

2^3

Answer 15

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

\[a^3 + b^3 = (a + b)(a^2 -ab + b^2)\]

Answer 16

wouldn't it be d

Answer 17

and cube root of g^3 ?

Answer 18

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

Answer 19

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

Answer 20

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

Answer 21

\[(4g+2)(16g^2-8g+4)\]

Answer 22

yeah it is d

Answer 23

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

Answer 24

sure