Question

Write the expression 125m^6 - 8n^3 in factored form.

Answer 1

\[125m ^{6}-8n ^{3}\]

Answer 2

Yeah^

Answer 3

step one....is there any factors of 125 and 8 that are the same?

Answer 4

for example: if the problem was 5m+10m^2 the 5 and the 10 have a factor in common and that is 5

Answer 5

I don't think there's a common factor betweem 125 and 8

Answer 6

Hint:

5³ = 125 and 2³ = 8

Answer 7

5 and 2?

Answer 8

Yeah. Also remember that (a³ - b³) = (a-b) (a²+a b+b²)

Answer 9

okay

Answer 10

so, 125 and 8 have no like factors =)

Answer 11

m is also not n....so same problem

Answer 12

it is either not factorable or she wants the factors for each term

Answer 13

5*5*5*m*m*m*m*m*m-2*2*2*n*n*n

Answer 14

It's factorable...

Answer 15

for instance 5m+10m2 would have been 5m(1+5m) factored

Answer 16

how?

Answer 17

Let m² = p then factor it.

Hint: (a³ - b³) = (a-b) (a²+a b+b²)

Answer 18

what formula is that?

Answer 19

the hint one

Answer 20

So would i do this
it has nocommon factor

Answer 21

@jwheele1 Perfect Cubic Polynomial
http://mathworld.wolfram.com/PerfectCubicPolynomial.html

Answer 22

Let m² = p \[125m^6 - 8n^3 = 125p^3 - 8n^3\] Now factor it.\[125p^3 - 8n^3 = (5p)^3 - (2n)^3 = (5p - 2n)((5p)^2 + (5p)(2n) + (2n)^2)\]

Answer 23

i see.. thank you

Answer 24

I know it looks complicated. Do you understand?