In this case, we are utilizing the rule of a sum of cubes. The rule is the following:
\(a^3+b^3=(a+b)(a^2-ab+b^2)\)
To remember the signs, you can remember this acronym. "soap." The acronym dictates the signage sequentially.
Same sign
Opposite sign
Always
Positive
\(a=x\\ b=\sqrt[3]{9769}\)
9769 is not a perfect cube, so this is the best we can do.
\((x+\sqrt[3]{9769})(x^2-x\sqrt[3]{9769}+\sqrt[3]{9769}^2)\)
In this case, we are utilizing the rule of a sum of cubes. The rule is the following:
\(a^3+b^3=(a+b)(a^2-ab+b^2)\)
To remember the signs, you can remember this acronym. "soap." The acronym dictates the signage sequentially.
Same sign
Opposite sign
Always
Positive
\(a=x\\ b=\sqrt[3]{9769}\)
9769 is not a perfect cube, so this is the best we can do.
\((x+\sqrt[3]{9769})(x^2-x\sqrt[3]{9769}+\sqrt[3]{9769}^2)\)