Factor. 10r^3 - 20r^2 - r + 2 ______

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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: (10r^3 - 20r^2) and (-r + 2).Factor Common Factor: Factor out the common factor from the first pair of terms. In the first pair (10r^3 - 20r^2), the common factor is 10r^2. Factor out 10r^2: 10r^2(r - 2).Factor Binomial: Factor out the common factor from the second pair of terms. In the second pair (-r + 2), there is no common factor other than 1. However, we can factor by looking for a term that will help us group the expression into a common binomial factor. We can rewrite -r + 2 as -1(r - 2) to match the binomial from the first pair. So, -r + 2 becomes -1(r - 2).Write Factored Expression: Write the expression with the factored groups. Now we have: 10r^2(r - 2) - 1(r - 2).Factor Common Binomial: Factor out the common binomial factor. We can now factor out the common binomial factor (r - 2) from both terms. Factored form: (r - 2)(10r^2 - 1).Recognize Difference of Squares: Recognize that 10r^2 - 1 is a difference of squares. 10r^2 - 1 can be factored further since it is a difference of squares: (10r)^2 - 1^2. Factor the difference of squares: (10r + 1)(10r - 1).Write Final Factored Form: Write the final factored form. Combine the factored terms to get the final factored form of the original expression. Final factored form: (r - 2)(10r + 1)(10r - 1).

Factor. $\newline$ $10r^3 - 20r^2 - r + 2$

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Factor.\newline10r3−20r2−r+210r^3 - 20r^2 - r + 210r3−20r2−r+2

Factor. $\newline$ $10r^3 - 20r^2 - r + 2$