2 szkoły ponadpodstawowej

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Matematyka i przykłady jej zastosowań 2. Zakres podstawowy i rozszerzony

Korzystając ze wzoru skróconego mnożenia na sześcian różnicy, otrzymujemy: (2x−3y)3=(2x)3−3⋅(2x)2⋅3y+3⋅2x⋅(3y)2−(3y)3=8x3−36x2y+54xy2−27y3   Porównując otrzymane wyrażenie z podaną równością otrzymujemy, że w miejsce □ należy wpisać: +54xy2   <hr> Prawidłowa odpowiedź to A.

Rozwiązanie 1

Korzystając ze wzoru skróconego mnożenia na różnicę sześcianów w mianowniku będziemy chcieli otrzymać wyrażenie

64−44=   =(62)2−(42)2=   =(62−42)(62+42)=

Obliczamy sześciany danych liczb:

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M834 80h400000v40h-400000z'/></svg>​   Porównując

37+197−1​=

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Najwygodniejszy sposób nauki z edukacyjnym Odrabiamy AI

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