Вычислите наиболее рациональным способом: (〖76〗^3+ 〖25〗^3)/101- 76•25 СРОЧНО. Created by ShnykovaTanya85. algebra-ru

101- 76•25 СРОЧНО...

ShnykovaTanya85 @ShnykovaTanya85

August 2021 2 19 Report

Вычислите наиболее рациональным способом:
(〖76〗^3+ 〖25〗^3)/101- 76•25
СРОЧНО

NNNLLL54

Verified answer

Ответ:

$\dfrac{76^3+25^3}{101}-76\cdot 25=\dfrac{(76+25)(76^2-76\cdot 25+25^2)}{101}-76\cdot 25=\\\\\\=\dfrac{101\cdot (76^2-76\cdot 25+25^2)}{101}-76\cdot 25= (76^2-76\cdot 25+25^2)-76\cdot 25=\\\\\\=76^2-2\cdot 76\cdot 25+25^2=(76-25)^2=51^2=2601$

4 votes Thanks 2

anastasiaveshaeva

Ответ:

$\frac{76 {}^{3} + 25 {}^{3} }{101} - 76 \times 25 = \frac{438 976 + 15625 - 191900}{101} = \frac{438976 - 176275}{101} = \frac{262701}{101} = 2601$

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