125x^3 - 64y^3
difference of cubes, so
(5x-4y)((5x)^2+(5x)(4y)+(4y)^2)
. . .
To simplify the expression 125x^3 - 64y^3, we can use the formula for the difference of cubes.
The formula for the difference of cubes is:
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
In this case, a = 125x^3 and b = 4y. Substituting these values into the formula, we have:
125x^3 - 64y^3 = (5x - 4y)(25x^2 + 20xy + 16y^2)
So, the simplified expression is (5x - 4y)(25x^2 + 20xy + 16y^2).