How do you factor #r^2-25tw+5wr-5tr#?

Answer 1

It helps to swap the terms around a little first so that the coefficients of the 1st and 2nd terms are in the same ratio as the 3rd and 4th terms thus:

#r^2-25tw+5wr-5tr#
#= r^2+5wr-5tr-25tw#
#= (r^2+5wr)-(5tr+25tw)#
#= r(r+5w)-5t(r+5w)#
#= (r-5t)(r+5w)#
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Answer 2

To factor (r^2 - 25tw + 5wr - 5tr), group the terms as follows: ((r^2 - 5tr) + (5wr - 25tw)). Then, factor out the common factors from each group: (r(r - 5t) + 5w(r - 5t)). Finally, factor out the common factor (r - 5t) to get ((r - 5t)(r + 5w)).

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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.

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.

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.

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.

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