Question

171×171×171-71×71×71÷171×171+171×71+71×71 how to solve it​

Answer 1

Answer:

$4659482$

it the ans ot this answer

Answer 2

Answer is 100

$\frac{171 \times 171 \times 171 - 71 \times 71 \times 71}{171 \times 171 + 171 \times 71 + 71 \times 71} \\ \\ \frac{ {171}^{3} - {71}^{3} }{ {171}^{2} + 171 \times 71 + {71}^{2} }$

We know that

${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )$

So

$\frac{ {171}^{3} - {71}^{3} }{ {171}^{2} + 171 \times 71 + {71}^{2} } \\ \\ = \frac{ (171 - 71)( {171}^{2} + 171 \times 71 + {71}^{2} )}{ {171}^{2} + 171 \times 71 + {71}^{2}}$

$expression \: \: {171}^{2} + 171 \times 71 + {71}^{2} \: \: cancels \: out$

$\frac{171 \times 171 \times 171 - 71 \times 71 \times 71}{171 \times 171 + 171 \times 71 + 71 \times 71} \\ \\ = 171 - 71 \\ = 100$