Question

Evaluate using formula: 7³ +3³ +(-10³)

Answer 1

$$\begin{gathered} 7^3+3^3+{\left(-10\right)}^3 \\ \mathrm{Let}\mathrm{a}=7;\mathrm{b}=3;\mathrm{c}=-10 \\ \mathrm{Now},\mathrm{a}+\mathrm{b}+\mathrm{c}=7+3+\left(-10\right)=10-10=0 \\ \mathrm{Since},\mathrm{a}+\mathrm{b}+\mathrm{c}=0,\mathrm{then} \\ {\mathrm{a}}^3+{\mathrm{b}}^3+{\mathrm{c}}^3=3\mathrm{abc} \\ \Rightarrow 7^3+3^3+{\left(-10\right)}^3=3\left(7\right)\left(3\right)\left(-10\right)=-630 \end{gathered}$$