Factor completely. 3wx-3w+8x-8

Group Terms with Common Factors: Group terms that have common factors. We can group the terms as follows: (3wx - 3w) + (8x - 8).Factor Out Greatest Common Factor: Factor out the greatest common factor from each group. From the first group (3wx - 3w), we can factor out 3w, giving us 3w(x - 1). From the second group (8x - 8), we can factor out 8, giving us 8(x - 1).Identify Common Factor: After factoring out the greatest common factors, we have: 3w(x - 1) + 8(x - 1). Now we can see that (x - 1) is a common factor.Factor Out Common Factor: Factor out the common factor (x - 1). We get (x - 1)(3w + 8) as the completely factored form of the expression.

Home

Math Problems

Algebra 1

Factor polynomials

Full solution

Q. Factor completely.

\newline

3 w x-3 w+8 x-8

Group Terms with Common Factors: Group terms that have common factors. We can group the terms as follows: $3wx - 3w$ + $8x - 8$ .
Factor Out Greatest Common Factor: Factor out the greatest common factor from each group. $\newline$ From the first group $3wx - 3w$ , we can factor out $3w$ , giving us $3w(x - 1)$ . $\newline$ From the second group $8x - 8$ , we can factor out $8$ , giving us $8(x - 1)$ .
Identify Common Factor: After factoring out the greatest common factors, we have: $3w(x - 1) + 8(x - 1)$ . Now we can see that $(x - 1)$ is a common factor.
Factor Out Common Factor: Factor out the common factor $(x - 1)$ . We get $(x - 1)(3w + 8)$ as the completely factored form of the expression.