Factor. 7q^3 - 7q^2 + 9q - 9 ______

Group Terms: Look for common factors in pairs of terms. We will first group the terms into pairs and look for common factors in each pair. Group the terms: (7q^3 - 7q^2) + (9q - 9).Factor First Pair: Factor out the common factor from the first pair of terms. Factor out 7q^2 from the first group: 7q^2(q - 1).Factor Second Pair: Factor out the common factor from the second pair of terms. Factor out 9 from the second group: 9(q - 1).Write Findings: Write down what we have found so far. We have: 7q^2(q - 1) + 9(q - 1). Notice that (q - 1) is a common factor in both terms.Factor Common Factor: Factor out the common factor (q - 1). Factor (q - 1) out of both terms: (q - 1)(7q^2 + 9).Check Further Factoring: Check for any further factoring possibilities. The second term 7q^2 + 9 does not have any common factors and cannot be factored further.

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Algebra 2

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Q. Factor.

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7q^3 - 7q^2 + 9q - 9

Group Terms: Look for common factors in pairs of terms. $\newline$ We will first group the terms into pairs and look for common factors in each pair. $\newline$ Group the terms: $(7q^3 - 7q^2) + (9q - 9)$ .
Factor First Pair: Factor out the common factor from the first pair of terms. $\newline$ Factor out $7q^2$ from the first group: $7q^2(q - 1)$ .
Factor Second Pair: Factor out the common factor from the second pair of terms. $\newline$ Factor out $9$ from the second group: $9(q - 1)$ .
Write Findings: Write down what we have found so far. $\newline$ We have: $7q^2(q - 1) + 9(q - 1)$ . $\newline$ Notice that $(q - 1)$ is a common factor in both terms.
Factor Common Factor: Factor out the common factor $(q - 1)$ . $\newline$ Factor $(q - 1)$ out of both terms: $(q - 1)(7q^2 + 9)$ .
Check Further Factoring: Check for any further factoring possibilities. $\newline$ The second term $7q^2 + 9$ does not have any common factors and cannot be factored further.