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Tawany5842
@Tawany5842
August 2019
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Sabendo que ab = 15, então o valor de (a-b)² - (a+b)² é:
a) 16
b)48
c)-16
d)-48
e)-60
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lizahvitoria0ot3gsi
C - 16 porque eu fiz a conta e deu isso aí
2 votes
Thanks 2
Tawany5842
Obrigada : )
danimachado201p91u1e
=(a-b)²-(a+b)²
=(a-b)(a-b)-[(a+b)(a+b)]
=a
²-ab-ab+b²-(a²+ab+ab+b²)
= a²-ab-ab+b²-a²-ab-ab-b²
=a²-2ab+b²-a²-2ab-b²
=(a²-a²-2ab-2ab+b²-b²)
=-4ab
Se ab=15 desta forma -4ab=-4.15=-60
2 votes
Thanks 2
Tawany5842
Obrigada : )
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=(a-b)(a-b)-[(a+b)(a+b)]
=a²-ab-ab+b²-(a²+ab+ab+b²)
= a²-ab-ab+b²-a²-ab-ab-b²
=a²-2ab+b²-a²-2ab-b²
=(a²-a²-2ab-2ab+b²-b²)
=-4ab
Se ab=15 desta forma -4ab=-4.15=-60