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megabear
@megabear
August 2022
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Докажите тождества (1,5x-2y)^2+(2x+1,5y)^2=6,25(x^2+y^2)
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Эксперт5
Verified answer
(1,5x-2y)²+(2x+1,5y)²=6,25(x²+y²)
(1,5x)²-2*1,5x*2y+(2y)²+(2x)²+2*2x*1,5y+(1,5y)²=6,25(x²+y²)
2,25x²-6xy+4y²+4x²+6xy+2,25y²=6,25(x²+y²)
6,25x²+6,25y²=6,25(x²+y²)
6,25(x²+y²)=6,25(x²+y²)
Тождество доказано
28 votes
Thanks 58
megabear
Спасибо!!!!!
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Answers & Comments
Verified answer
(1,5x-2y)²+(2x+1,5y)²=6,25(x²+y²)(1,5x)²-2*1,5x*2y+(2y)²+(2x)²+2*2x*1,5y+(1,5y)²=6,25(x²+y²)
2,25x²-6xy+4y²+4x²+6xy+2,25y²=6,25(x²+y²)
6,25x²+6,25y²=6,25(x²+y²)
6,25(x²+y²)=6,25(x²+y²)
Тождество доказано