Ответ:
2.
1) 18x² + 24xy = 6x(3x + 4y)
2) 9a⁵ - 3a³ = 3a³(3a² - 1)
3) 7m - 7n + mx - nx = 7(m - n) + x(m - n) = (7 + x)(m - n)
3.
4x² - 16x = 0
4x(x - 4) = 0
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
4.
6y(3y - 4) - (y - 5)(y + 4) = 18y² - 24y - y² - 4y + 5y + 20 = 17y² - 23y + 20
5.
1) (4x + 2)/15 - (x - 1)/10 = 3
(8x + 2)/30 - (3x - 3)/30 = 3
(8x + 2 - 3x + 3)/30 = 3
5x + 5 = 90
5x = 85
x = 17
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Answers & Comments
Ответ:
2.
1) 18x² + 24xy = 6x(3x + 4y)
2) 9a⁵ - 3a³ = 3a³(3a² - 1)
3) 7m - 7n + mx - nx = 7(m - n) + x(m - n) = (7 + x)(m - n)
3.
4x² - 16x = 0
4x(x - 4) = 0
4x = 0 ⇒ x = 0
x - 4 = 0 ⇒ x = 4
4.
6y(3y - 4) - (y - 5)(y + 4) = 18y² - 24y - y² - 4y + 5y + 20 = 17y² - 23y + 20
5.
1) (4x + 2)/15 - (x - 1)/10 = 3
(8x + 2)/30 - (3x - 3)/30 = 3
(8x + 2 - 3x + 3)/30 = 3
5x + 5 = 90
5x = 85
x = 17