How do you factor #xy - 3x - 8y + 24#?

Answer 1

The factors of the first term #x,y# are #x# and #y# So if we can factor #xy-3x-8y+24# the most likely form will be #(x+a)(y+b) = xy +bx +ay +ab#

by inspection #a = -8# and #b=-3#

so #xy-3x-8y+24 = (x-8)(x-3)#

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Answer 2

Eva Abramson

To factor the expression (xy - 3x - 8y + 24), you can first group the terms with common factors:

(xy - 3x - 8y + 24 = x(y - 3) - 8(y - 3))

Now, you can see that both terms have a common factor of (y - 3), so you can factor it out:

(xy - 3x - 8y + 24 = (x - 8)(y - 3))

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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.