Question

Please simplify the following with steps. Thank you...

(x^3)-1

Answer 1

\[\Large x^3 - 1 \implies x^3 - 1^3\]
this is difference of two cubes
\[\Large a^3 - b^3 \implies (a-b)(a^2 + ab + b^2)\]
does that help?

Answer 2

yes thank you

Answer 3

welcome

Answer 4

Does the same principle work for (x^3)+8?

Answer 5

\[x^3 + 8\]
that's sum of cubes
\[\implies x^3 + 2^3\]
the sum of cubes formula is \[a^3 + ^3 \implies (a+b)(a^2 - ab + b^2)\]

Answer 6

Got it, thanks

Answer 7

welcome