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How do you factor #xy-7x+7y-49#?

Answer 1

Kennedy Adams

#(x+7)(y-7)#

Given: #xy - 7x + 7y - 49#

Use group factoring. Group the first and third terms and the second and fourth terms:

#(xy + 7y) + (-7x - 49)#

Factor the greatest common factor (GCF) of each group:

#y (x + 7) - 7(x + 7)#

Notice that both contain the factor #x + 7#. This is the GCF of both groups:

#(x + 7)( y - 7)#

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Answer 2

Eli Assouline

To factor ( xy - 7x + 7y - 49 ), you can group the terms and factor by grouping:

[ xy - 7x + 7y - 49 = (xy - 7x) + (7y - 49) ] [ = x(y - 7) + 7(y - 7) ] [ = (x + 7)(y - 7) ]

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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.