Factor. 10n^3 + 10n^2 - 3n - 3 ______

Group Terms for Factoring: Group terms that can be factored by grouping. Group the first two terms and the last two terms separately. 10n^3 + 10n^2 - 3n - 3 can be grouped as (10n^3 + 10n^2) + (-3n - 3).Factor Out Common Factors: Factor out the greatest common factor from each group. From the first group (10n^3 + 10n^2), factor out 10n^2. 10n^3 + 10n^2 = 10n^2(n + 1). From the second group (-3n - 3), factor out -3. -3n - 3 = -3(n + 1).Write Factored Expression: Write the expression with the factored groups. The expression now looks like this: 10n^2(n + 1) - 3(n + 1).Factor Out Common Binomial: Factor out the common binomial factor. Both terms have a common factor of (n + 1). Factor out (n + 1) from both terms. The factored form is (n + 1)(10n^2 - 3).

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Algebra 2

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Q. Factor.

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10n^3 + 10n^2 - 3n - 3

Group Terms for Factoring: Group terms that can be factored by grouping. $\newline$ Group the first two terms and the last two terms separately. $\newline$ $10n^3 + 10n^2 - 3n - 3$ can be grouped as $(10n^3 + 10n^2) + (-3n - 3)$ .
Factor Out Common Factors: Factor out the greatest common factor from each group. $\newline$ From the first group $10n^3 + 10n^2$ , factor out $10n^2$ . $\newline$ $10n^3 + 10n^2 = 10n^2(n + 1)$ . $\newline$ From the second group $-3n - 3$ , factor out $-3$ . $\newline$ $-3n - 3 = -3(n + 1)$ .
Write Factored Expression: Write the expression with the factored groups. $\newline$ The expression now looks like this: $10n^2(n + 1) - 3(n + 1)$ .
Factor Out Common Binomial: Factor out the common binomial factor. $\newline$ Both terms have a common factor of $(n + 1)$ . $\newline$ Factor out $(n + 1)$ from both terms. $\newline$ The factored form is $(n + 1)(10n^2 - 3)$ .