Identify Common Factors: Step Title: Identify Common Factors in Pairs of TermsConcise Step Description: Look for common factors in pairs of terms to simplify the expression by grouping.Step Calculation: The first two terms, 10s3 and −5s2, have a common factor of 5s2. The last two terms, 8s and −4, have a common factor of 4.Step Output: Grouped terms: (5s2)(2s−1)+4(2s−1)
Factor by Grouping: Step Title: Factor by GroupingConcise Step Description: Factor out the common binomial factor from the grouped terms.Step Calculation: Since both groups contain the common binomial factor (2s−1), factor it out.Step Output: Factored expression: (2s−1)(5s2+4)