Divide (7xy+8x-7y-8)/(4xy-7x-4y-7)

Math
7xy+8x-7y-84xy-7x-4y-7
Simplify the numerator.
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Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(7xy+8x)-7y-84xy-7x-4y-7
Factor out the greatest common factor (GCF) from each group.
x(7y+8)-(7y+8)4xy-7x-4y-7
x(7y+8)-(7y+8)4xy-7x-4y-7
Factor the polynomial by factoring out the greatest common factor, 7y+8.
(7y+8)(x-1)4xy-7x-4y-7
(7y+8)(x-1)4xy-7x-4y-7
Expand (7y+8)(x-1) using the FOIL Method.
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Apply the distributive property.
7y(x-1)+8(x-1)4xy-7x-4y-7
Apply the distributive property.
7yx+7y⋅-1+8(x-1)4xy-7x-4y-7
Apply the distributive property.
7yx+7y⋅-1+8x+8⋅-14xy-7x-4y-7
7yx+7y⋅-1+8x+8⋅-14xy-7x-4y-7
Simplify each term.
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Multiply -1 by 7.
7yx-7y+8x+8⋅-14xy-7x-4y-7
Multiply 8 by -1.
7yx-7y+8x-84xy-7x-4y-7
7yx-7y+8x-84xy-7x-4y-7
Split the fraction 7yx-7y+8x-84xy-7x-4y-7 into two fractions.
7yx-7y+8x4xy-7x-4y-7+-84xy-7x-4y-7
Split the fraction 7yx-7y+8x4xy-7x-4y-7 into two fractions.
7yx-7y4xy-7x-4y-7+8x4xy-7x-4y-7+-84xy-7x-4y-7
Split the fraction 7yx-7y4xy-7x-4y-7 into two fractions.
7yx4xy-7x-4y-7+-7y4xy-7x-4y-7+8x4xy-7x-4y-7+-84xy-7x-4y-7
Move the negative in front of the fraction.
7yx4xy-7x-4y-7-7y4xy-7x-4y-7+8x4xy-7x-4y-7+-84xy-7x-4y-7
Move the negative in front of the fraction.
7yx4xy-7x-4y-7-7y4xy-7x-4y-7+8x4xy-7x-4y-7-84xy-7x-4y-7
Divide (7xy+8x-7y-8)/(4xy-7x-4y-7)

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