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Staytoday13
@Staytoday13
August 2021
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Помогите! Срочно! Очень надо!
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2) a) -xy + 7x + 5y - 35 = x(-y + 7) - 5(-y + 7) = (x - 5)(7 - y)
b) 5a^2 + 10ay + 5y^2 = 5(a^2 - 2ay + y^2) = 5(a - y)^2
3) (a - b)(a^2 - b^2) = (a - b)(a - b)(a + b) = (a + b)(a - b)^2
4) (3x - 9)^2 - (3x + 3)^2 = 0
Выносим из-под скобок 3^2
3^2*(x - 3)^2 - 3^2*(x + 1)^2 = 0
Делим всё на 3^2
(x - 3)^2 - (x + 1)^2 = 0
Раскладываем как разность квадратов
(x - 3 - x - 1)(x - 3 + x + 1) = 0
-4(2x - 2) = 0
x = 1
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Answers & Comments
Verified answer
2) a) -xy + 7x + 5y - 35 = x(-y + 7) - 5(-y + 7) = (x - 5)(7 - y)b) 5a^2 + 10ay + 5y^2 = 5(a^2 - 2ay + y^2) = 5(a - y)^2
3) (a - b)(a^2 - b^2) = (a - b)(a - b)(a + b) = (a + b)(a - b)^2
4) (3x - 9)^2 - (3x + 3)^2 = 0
Выносим из-под скобок 3^2
3^2*(x - 3)^2 - 3^2*(x + 1)^2 = 0
Делим всё на 3^2
(x - 3)^2 - (x + 1)^2 = 0
Раскладываем как разность квадратов
(x - 3 - x - 1)(x - 3 + x + 1) = 0
-4(2x - 2) = 0
x = 1