Factor. 4uv - 8u + 7v - 14 ______

Group Terms: Group terms that have common factors. Group the terms as follows: (4uv - 8u) + (7v - 14).Factor Common Factor: Factor out the greatest common factor from each group. From the first group (4uv - 8u), factor out 4u: 4u(v - 2). From the second group (7v - 14), factor out 7: 7(v - 2).Rewrite Expression: Rewrite the expression using the factored terms. The expression becomes: 4u(v - 2) + 7(v - 2).Factor Common Binomial: Factor out the common binomial factor (v - 2). The expression can be factored as (v - 2)(4u + 7).

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Factor. $\newline$ $4uv - 8u + 7v - 14$

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Q. Factor.

\newline

4uv - 8u + 7v - 14

Group Terms: Group terms that have common factors. $\newline$ Group the terms as follows: $4uv - 8u$ + $7v - 14$ .
Factor Common Factor: Factor out the greatest common factor from each group. $\newline$ From the first group $4uv - 8u$ , factor out $4u$ : $4u(v - 2)$ . $\newline$ From the second group $7v - 14$ , factor out $7$ : $7(v - 2)$ .
Rewrite Expression: Rewrite the expression using the factored terms. $\newline$ The expression becomes: $4u(v - 2) + 7(v - 2)$ .
Factor Common Binomial: Factor out the common binomial factor $(v - 2)$ . $\newline$ The expression can be factored as $(v - 2)(4u + 7)$ .