Better Students Ask More Questions.
Hpw do I factor: 125s^6+8g^3 64x^4-4y^4 75b^3c-12bc^3 4xz+12x+5yz+15y Please Help
2 Answers | add yours
High School Teacher
Best answer as selected by question asker.
(1) `125s^6+8g^3` recognize as the sum of cubes: `a^3+b^3=(a+b)(a^2-ab+b^2)`
(2) 64x^4-4y^4 recognize as the difference of two squares: `a^2-b^2=(a+b)(a-b)`
`=(8x^2-2y^2)(8x^2+2y^2)` The first term factors:
`=2(4x^2-y^2)2(4x^2+y^2)` as a difference of two squares
(3) `75b^3c-12bc^3` factor out the greatest common factor
`=3bc(25b^2-4c^2)` recognize the difference of two squares:
(4) Factor out the common factor pairwise:
`=4x(z+3)+5y(z+3)` The binomial factor is a common factor
Posted by embizze on May 11, 2013 at 6:37 PM (Answer #1)
`75b^3c - 12bc^3=3bc(25b^2-4c^2)=3bc(5b-2c)(5b+2c)`
Posted by oldnick on May 12, 2013 at 2:47 AM (Answer #2)
Join to answer this question
Join a community of thousands of dedicated teachers and students.