Identify Common Factors: Look for common factors in the first two terms and the last two terms separately.For the first two terms, 18u3 and −9u2, the common factor is 9u2.For the last two terms, −10u and +5, the common factor is −5.
Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms.18u3−9u2=9u2(2u−1)−10u+5=−5(2u−1)
Write Factored Expression: Write the expression with the factored terms.18u3−9u2−10u+5=9u2(2u−1)−5(2u−1)
Factor Out Binomial Factor: Factor out the common binomial factor (2u−1).18u3−9u2−10u+5=(9u2−5)(2u−1)