Question

Evaluate using identity
${10}^{3} + {9}^{3}$

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Answer 1

$\Huge \boxed {\fcolorbox{red}{aqua}{Answer}}$

$1 {0}^{3} + {9}^{3} \\ \\ 1000 + {9}^{3} \\ \\ 100 + 729 \\ \\ 1729$

Answer 2

${\rm{\underline{\large{Question}}}}$

Evaluate using Identity:

(10)³+(9)³

${\large{\rm{\underline{Answer}}}}$

Using Identity,

${\sf{\small{\red{ {a}^{3} + {b}^{3} = (a + b)( {a}^{2} - ab + {b}^{2} )}}}}$

${\mapsto} \: {{\sf{ {10}^{3} + {9}^{3} }}}$

${\mapsto} \: {{\sf{(10 + 9)( {10}^{2} - 10 \times 9 + {9}^{2}) }}}$

${\mapsto} \: {{\sf{19(100 - 90 + 81)}}}$

${\mapsto} \: {{\sf{19(10 + 81)}}}$

${\mapsto} \: {{\sf{19 \times 91}}}$

${\mapsto} \: {{\sf{ 1729}}}$

Hope it helps!

Thank you