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How do you factor by grouping #x^2 - ax - bx + ab#?

Answer 1

Nathan Axel

#x^2-ax-bx+ab# #=(x^2-ax)-(bx-ab)# #=x(x-a)-b(x-a)# #=(x-b)(x-a)#

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Answer 2

Genesis Allen

To factor by grouping the expression (x^2 - ax - bx + ab), you first group the terms like this: ((x^2 - ax) - (bx - ab)). Then, factor out the greatest common factor from each group: (x(x - a) - b(x - a)). Finally, factor out the common binomial factor ((x - a)): ((x - a)(x - b)).

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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.

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