Question

Please help! (medal + fan)
Choose the expressions that are sums or differences of two cubes.


64 + a^12b^51

–t^6 + u^3v^21

8h^45 – k^15

75 – n^3p^6

–27 – xz^9

Answer 1

Recall that:

Sum of cubes:
\[a^3 + b^3 = (a + b)(a^2 – ab + b^2) \]

Difference of cubes:
\[a^3 – b^3 = (a – b)(a^2 + ab + b^2)\]