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How do you factor #10q^3-1210q#?

Answer 1

Abigail Allen

#10q(q+11)(q-11)#

We can start by factoring out the 10 and a #q#:

#10q^3-1210q#

#10q(q^2-121)#

Notice that the statement within the brackets is of the form #(a^2-b^2)#, meaning we can factor it into #(a+b)(a-b)#:

#10q(q+11)(q-11)#

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Answer 2

Genesis Allen

To factor (10q^3 - 1210q), we can first factor out the greatest common factor, which is 10q. This gives us:

(10q(q^2 - 121))

Now, we can factor the expression (q^2 - 121) further. (q^2 - 121) is a difference of squares, so we can factor it as ((q + 11)(q - 11)).

Putting it all together, we have:

(10q(q + 11)(q - 11))

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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.