Factor. 7y^3 + 14y^2 + 9y + 18 ______

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Identify Common Factors: Look for common factors in each pair of terms. We can group the terms as (7y^3 + 14y^2) and (9y + 18) to look for common factors within each group.Factor First Group: Factor out the common factor from the first group. The common factor in the first group (7y^3 + 14y^2) is 7y^2. 7y^3 + 14y^2 = 7y^2(y + 2)Factor Second Group: Factor out the common factor from the second group. The common factor in the second group (9y + 18) is 9. 9y + 18 = 9(y + 2)Write Factored Form: Write the factored form of the entire expression. Now we have: 7y^3 + 14y^2 + 9y + 18 = 7y^2(y + 2) + 9(y + 2) Notice that (y + 2) is a common factor in both terms.Factor Out Common Factor: Factor out the common factor (y + 2). Factor out (y + 2) from both terms. 7y^3 + 14y^2 + 9y + 18 = (y + 2)(7y^2 + 9)Check for Further Factoring: Check if the second factor (7y^2 + 9) can be factored further. The second factor (7y^2 + 9) does not have a common factor and is not a difference of squares, so it cannot be factored further.

Factor. $\newline$ $7y^3 + 14y^2 + 9y + 18$

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Factor.\newline7y3+14y2+9y+187y^3 + 14y^2 + 9y + 187y3+14y2+9y+18

Factor. $\newline$ $7y^3 + 14y^2 + 9y + 18$