Ответ:
1.
а) 3x²(x³ - 3) = 3x⁵ - 9x²
б) -5x⁴(2x - x²) = -10x⁵ + 5x⁶
в) 3x(x - 2) - 5x(x + 3) = 3x² - 6x - 5x² -15x = -2x² - 21x
г) a(3b + c) - c(a - 5) = 3ab + ac - ac + 5c = 5c - 3ab
2.
a) 8p + 2pc = 2p(4 + c)
б) 7ab - 14a² = 7a(b - 2a)
в) 2a²b - a² = a²(2b - 1)
г) 8x³y² - 12x²y = 4x²y(2xy - 1)
д) a(b + c) + x(b + c) = (b+c)(a + x)
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Answers & Comments
Ответ:
1.
а) 3x²(x³ - 3) = 3x⁵ - 9x²
б) -5x⁴(2x - x²) = -10x⁵ + 5x⁶
в) 3x(x - 2) - 5x(x + 3) = 3x² - 6x - 5x² -15x = -2x² - 21x
г) a(3b + c) - c(a - 5) = 3ab + ac - ac + 5c = 5c - 3ab
2.
a) 8p + 2pc = 2p(4 + c)
б) 7ab - 14a² = 7a(b - 2a)
в) 2a²b - a² = a²(2b - 1)
г) 8x³y² - 12x²y = 4x²y(2xy - 1)
д) a(b + c) + x(b + c) = (b+c)(a + x)