Question

Find the value of 58 cube -24 cube - 34 cube

Answer 1

If

$$\begin{gathered} a+b+c=0,\mathrm{then}{a}^3+b^3+c^3=3abc \\ \mathrm{Let}a=58,b=-24,c=-34 \\ \mathrm{Let}\mathrm{us}\mathrm{check}a+b+c=58-24-34=0, \\ \mathrm{therefore},\mathrm{we}\mathrm{can}\mathrm{say}\mathrm{that} \\ {58}^3-{24}^3-{34}^3=3\times \left(58\right)\times \left(-24\right)\times \left(-34\right)=141984\left(\mathrm{answer}\right) \end{gathered}$$