Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor.\newline18u39u210u+518u^3 - 9u^2 - 10u + 5

Full solution

Q. Factor.\newline18u39u210u+518u^3 - 9u^2 - 10u + 5
  1. Identify Common Factors: Look for common factors in the first two terms and the last two terms separately.\newlineFor the first two terms, 18u318u^3 and 9u2-9u^2, the common factor is 9u29u^2.\newlineFor the last two terms, 10u-10u and +5+5, the common factor is 5-5.
  2. Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms.\newline18u39u2=9u2(2u1)18u^3 - 9u^2 = 9u^2(2u - 1)\newline10u+5=5(2u1)-10u + 5 = -5(2u - 1)
  3. Write Factored Expression: Write the expression with the factored terms.\newline18u39u210u+5=9u2(2u1)5(2u1)18u^3 - 9u^2 - 10u + 5 = 9u^2(2u - 1) - 5(2u - 1)
  4. Factor Out Binomial Factor: Factor out the common binomial factor (2u1)(2u - 1).\newline18u39u210u+5=(9u25)(2u1)18u^3 - 9u^2 - 10u + 5 = (9u^2 - 5)(2u - 1)