Simplify Radical Expression

Let's simplify this expression involving cube roots. We have negative three times the cube root of one hundred thirty-five, plus three times the cube root of forty.

To simplify, we need to find perfect cube factors for the numbers inside the radicals. Let's look at one hundred thirty-five first.

Since twenty-seven is three cubed, we can rewrite the first term as negative three times the cube root of twenty-seven times five.

Now let's do the same for forty. Forty is eight times five, and eight is two cubed.

So we rewrite the second term as three times the cube root of eight times five.