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illuck
@illuck
August 2021
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представьте в виде произведения выражение: (4x-9)^2-(2x+19)^2; (a+b+c)^2-(a-b-c)^2 . Пожалуйста напишите решение
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Luluput
Verified answer
1)
2)
2 votes
Thanks 2
Глокси
Формула a²-b²=(a-b)(a+b)
(4x-9)²-(2x+19)²=( (4x-9)-(2x+19)) *( (4x-9)+(2x+19))=
=(4x-9-2x-19)*(4x-9+2x+19)=(2x-28)(6x+10)
(a+b+c)²-(a-b-c)²= ( (a+b+c)-(a-b-c))*( (a+b+c)+(a-b-c))=
=(a+b+c-a+b+c)*(a+b+c+a-b-c)=(2b+2c)*2a
2 votes
Thanks 4
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Verified answer
1)2)
(4x-9)²-(2x+19)²=( (4x-9)-(2x+19)) *( (4x-9)+(2x+19))=
=(4x-9-2x-19)*(4x-9+2x+19)=(2x-28)(6x+10)
(a+b+c)²-(a-b-c)²= ( (a+b+c)-(a-b-c))*( (a+b+c)+(a-b-c))=
=(a+b+c-a+b+c)*(a+b+c+a-b-c)=(2b+2c)*2a