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pomogite1pls
@pomogite1pls
July 2022
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упростите выражение (x-2)(x-3)-(x-1)².
прошу!
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OlyaMemory05
(x-2)(x-3)-(x-1)²=-3x+5
1) (x-1)²=(x-1)(x-1)=x²-x-x+1=x²-2x+1
2) (x-2)(x-3)=x²-3x-2x+6=x²-5x+6
3) (x²-5x+6)-(x²-2x+1)=x²-5x+6-x²+2x-1=-3x+5
3 votes
Thanks 1
andrisd
Verified answer
Решение:
x в квадрате -3x -2x+6-(x в квадрате-2x+1)равно х в квадрате-3х-2х+6-х в квадрате+2х-1равно -3х+5.
Ответ:-3х+5
2 votes
Thanks 3
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Answers & Comments
1) (x-1)²=(x-1)(x-1)=x²-x-x+1=x²-2x+1
2) (x-2)(x-3)=x²-3x-2x+6=x²-5x+6
3) (x²-5x+6)-(x²-2x+1)=x²-5x+6-x²+2x-1=-3x+5
Verified answer
Решение:x в квадрате -3x -2x+6-(x в квадрате-2x+1)равно х в квадрате-3х-2х+6-х в квадрате+2х-1равно -3х+5.
Ответ:-3х+5