Question

evaluate 23^3 - 17^3​

Answer 1

Answer:

see the attachment...

Answer 2

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23^3 - 17^3

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$= > {23}^{3} - {17}^{3} = (20 + 3) {}^{3} - (20 - 3) {}^{3}$

$= > (23) {}^{3} - (17) {}^{3 } = 2( {3}^{3} + 3 \times {20}^{2} \times 3)$

We know,

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

So,

$= > (23) {}^{3} - (17) {}^{3} = 54 + 7200$

$= > (23 ){}^{3 } - (17) {}^{3} = 7254$

$= > 7254$

$\boxed{ANSWER=7254}$

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$\huge{\underline{\underline{\mathfrak{Thank you}}}}$