3 years ago

Factor 125x^3-1000. Show your work.

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

4 0

The left term is (5x)³.

The right term is 10³.

So, you can use the formula for the factorization of the difference of cubes.

... a³ - b³ = (a-b)(a² +ab +b²)

Here, you have a=5x, b=10, so the factorization is

... 125x³ -1000 = (5x-10)(25x² +50x +100)

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