Question

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

Answer 1

\[(5m^2-2n)(25m^4+10m^2n+4n^2)\]

Answer 2

could you explain how you got that please?

Answer 3

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

Answer 4

(125m^6)^3-(-8n^3)^3= ..
like that?

Answer 5

Well Since both terms are perfect cubes, find the values for a and b.\[a^3=125m^6 so, a=5m^2\] and \[b^3=8n^3, so, b=2n\]

Answer 6

and plug those into the equation instead?

Answer 7

The binomial can be factored using the difference of cubes formula, because both terms are perfect cubes. So you would do
\[(5m^2-2n)(25m^4+10m^2n+4n^2)\]

Answer 8

okaay

Answer 9

thanks