factor the following sums or differences of two cubes?

Question

a. b^3 - 8
b. x^3 + 8
c. m^3 - n^3
d. c^3 + f^3

Answer 1

a.b^3-8
=b^3-2^3
=(b-2)(b^2+2b+4)

b.x^3+8
=x^3+2^3
=(x+2)(x^2-2x+4)

c.m^3-n^3
=(m-n)(m^2+mn+n^2)

d.c^3+f^3
=(c+f)(c^2-cf+f^2)

Answer 2

Your math textbook probably has these formulas inside the front or back cover. These formulas have been in those locations in four of my books. All you need do is plug in the numbers and proceed.