Factor. 9m^3 - 6m^2 - 15m + 10 ______

Identify Common Factors: Look for common factors in pairs of terms. We can try to factor by grouping, which involves combining terms that have common factors. We'll look at the first two terms and the last two terms separately.Factor First Two Terms: Factor out the greatest common factor from the first two terms. The first two terms are 9m^3 and -6m^2. The greatest common factor is 3m^2. 9m^3 - 6m^2 = 3m^2(3m - 2)Factor Last Two Terms: Factor out the greatest common factor from the last two terms. The last two terms are -15m and +10. The greatest common factor is 5. -15m + 10 = -5(3m - 2)Combine Factors: Write the expression with the factors found. We now have: 3m^2(3m - 2) - 5(3m - 2) Notice that (3m - 2) is a common factor.Factor Out Common Factor: Factor out the common factor of (3m - 2). We can factor (3m - 2) out of both terms. 3m^2(3m - 2) - 5(3m - 2) = (3m - 2)(3m^2 - 5)

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Algebra 1

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Q. Factor.

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9m^3 - 6m^2 - 15m + 10

Identify Common Factors: Look for common factors in pairs of terms. $\newline$ We can try to factor by grouping, which involves combining terms that have common factors. We'll look at the first two terms and the last two terms separately.
Factor First Two Terms: Factor out the greatest common factor from the first two terms. $\newline$ The first two terms are $9m^3$ and $-6m^2$ . The greatest common factor is $3m^2$ . $\newline$ $9m^3 - 6m^2 = 3m^2(3m - 2)$
Factor Last Two Terms: Factor out the greatest common factor from the last two terms. $\newline$ The last two terms are $-15m$ and $+10$ . The greatest common factor is $5$ . $\newline$ $-15m + 10 = -5(3m - 2)$
Combine Factors: Write the expression with the factors found. $\newline$ We now have: $\newline$ $3m^2(3m - 2) - 5(3m - 2)$ $\newline$ Notice that $(3m - 2)$ is a common factor.
Factor Out Common Factor: Factor out the common factor of $(3m - 2)$ . $\newline$ We can factor $(3m - 2)$ out of both terms. $\newline$ $3m^2(3m - 2) - 5(3m - 2) = (3m - 2)(3m^2 - 5)$