27y3 + 125z3

Question

Factor the sum or difference of two cubes.

Answer 1

27y3 + 125z3

             _9y^2_-15yz_ _+ 25z^2

3y + 5z )27y3   + 0y^2z  + 0yz^2    +125z3

              27y^3 + 45y^2z

                          -45y^2z + 0yz^2

                          -45y^2z + 75yz^2

                                           75yz^2 + 125 z^3

                                           75yz^2 + 125z^3

formula for addition of cubes

a³ + b³ = (a + b)(a² – ab + b²)

(3y +5z)(9y^2 - 15yz +25z^2)

(3y + 5z)^2 (3y - 5z)