Problem

Factor by grouping.
8c2+38c+35

Answer

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Answer

The factored form of the expression 8c2+38c+35 is (2c+7)(4c+5).

Steps

Step 1 :Group the terms in pairs: (8c^2 + 38c) + 35.

Step 2 :Factor out the greatest common factor (GCF) from each group. The GCF of the first group is 2c, and the GCF of the second group is 35.

Step 3 :After factoring out the GCF, we should have two terms that are the same. If they are not the same, then the expression cannot be factored by grouping.

Step 4 :The factored form of the expression 8c2+38c+35 is (2c+7)(4c+5).

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