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

Answer 1

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!

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Answer 2

Abigail Allen

To factor the expression ( -6x^2 - (-6x^3) ), we can first simplify the expression by combining like terms.

( -6x^2 - (-6x^3) ) simplifies to ( -6x^2 + 6x^3 ).

Now, we can factor out the common factor, which is ( 6x^2 ).

( -6x^2 + 6x^3 = 6x^2(-1 + x) ).

So, the factored form of ( -6x^2 - (-6x^3) ) is ( 6x^2(-1 + x) ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.