Question

Find 26^3+(-15)^3+(-11)^3 using identities

Answer 1

Answer:

$1272$

Step-by-step explanation:

Since,

$26 + ( - 15) + ( - 11) = 0$

Therefore,

${26}^{3} + {( - 15)}^{3} + {( - 11)}^{ 3 } \\ = > (3)(26)( - 15)( - 11)$

Using Identity-

$if \: \: {a} + {b} + {c} = 0 \: \\ then \: \: {a}^{3} + {b}^{3} + {c}^{3} = 3abc$

$(3)(26)( - 15)( - 11) \\ = > 1272$