Используя формулу сокращенного умножения, вычислите.
[tex] \frac{43 { }^{3} + 57 {}^{3} }{ 100} - 43 \times 57[/tex]
[tex] \frac{43 { }^{3} + 57 {}^{3} }{ 100} - 43 \times 57[/tex]
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(43+57)(43²-43*57+57²)/100 -43*57= 43²-43*57+57²-43*57= 43²-2*43*57+57²= (43-57)²= 196