Factorise the following by grouping ab+ac-db-dc
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Factorise the following by grouping ab+ac-db-dc

[From: ] [author: ] [Date: 11-12-15] [Hit: ]
Next, group the second two terms together and find the GCF.Since both groups contain the factor (b+c), they can be combined.......
Help please first time factorising by grouping. I have converted the equation to a(b+c)-d(b+c), but i need to group this equation even further. Thanks.

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Dear Callum,

ab+ac-db-dc

Arrange the variables alphabetically within the expression -db. This is the standard way of writing an expression.
ab+ac-bd-dc

Arrange the variables alphabetically within the expression -dc. This is the standard way of writing an expression.
ab+ac-bd-cd

Group the first two terms together, and group the second two terms together.
(ab+ac)+(-bd-cd)

Factor the greatest common factor (GCF) from each group.
(a(b+c)-d(b+c))

Factor the polynomial by grouping the first two terms together and finding the greatest common factor (GCF). Next, group the second two terms together and find the GCF. Since both groups contain the factor (b+c), they can be combined.
(a-d)(b+c)
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