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

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Answer 1 · 2017-06-01T03:07:37

$(x + 7) (y - 7)$ $(x+7)(y-7)$

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

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

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

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

$y (x + 7) - 7 (x + 7)$ $y (x + 7) - 7(x + 7)$

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

$(x + 7) (y - 7)$ $(x + 7)( y - 7)$

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