How do you factor #-6x^2-(-6x^3) #?

1 Answer
Apr 25, 2018

Well, first thing, look at what the negative signs do to the equation. You should find that your quantites can be represented as:
#-6x^2 + 6x^3#

Now, the idea of factoring is to simplfy an equation by pulling out like terms. In this case, there are like terms of 6 and x^2, since both pieces of the formula contain them. We can then pull them out to be multiplied to obtain the same result above, but it shall be simplified. We obtain:

#(x - 1)6x^2#

See for yourself, if we multiply the #6x^2# back over, to x and -1, you should find that it's the same quantity as in the beginning!