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m1dway
@m1dway
July 2022
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Выделите квадрат двучлена из квадратного трехчлена 1)x^2 + 2x 2) x^2 + 4x + 8 3) x^2- 8x – 8 4) -4x^2 + 4x
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Dимасuk
Verified answer
1) x² + 2x = x² + 2x + 1 - 1 =(x + 1)² - 1
2) x² + 4x + 8 = x² + 4x + 4 + 4 = (x + 2)² + 2
3) x² - 8x - 8 = x² - 8x + 16 - 24 = (x - 4)² - 24
4) - 4x² + 4x = -4x² + 4x - 1 + 1 = -(2x - 1)² - 1
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Answers & Comments
Verified answer
1) x² + 2x = x² + 2x + 1 - 1 =(x + 1)² - 12) x² + 4x + 8 = x² + 4x + 4 + 4 = (x + 2)² + 2
3) x² - 8x - 8 = x² - 8x + 16 - 24 = (x - 4)² - 24
4) - 4x² + 4x = -4x² + 4x - 1 + 1 = -(2x - 1)² - 1