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HIpsTER22
@HIpsTER22
September 2021
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Помогите разложить на множители: 1) х^2 - 9x + 9y - y^2 2) 4x^2 + 5x - 9x^2 + 15x 3) 4x^2 - 4y^2 + 3x + 3y
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ГородскаяОхотница
1) х
²
- 9x + 9y - y
²
= х
² - у² - 9х + 9у = (х - у)(х +у) - 9 (х - у) = (х + у - 9)(х - у)
2) 4x
²
+ 5x - 9x
²
+ 15x = - 5х
² + 20х = 5х (4 - х)
3) 4x
²
- 4y
²
+ 3x + 3y = 4 (х
² - у²) + 3 (х + у) = 4 (х - у)(х + у) + 3 (х + у) = (4х - 4у + 3)(х + у)
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Answers & Comments
2) 4x² + 5x - 9x² + 15x = - 5х² + 20х = 5х (4 - х)
3) 4x² - 4y² + 3x + 3y = 4 (х² - у²) + 3 (х + у) = 4 (х - у)(х + у) + 3 (х + у) = (4х - 4у + 3)(х + у)