а) y-100y³ = y(1-100y²)б) 7a²-14ab+7b² = 7(a-b)²в) 16-y⁴ = (2+y²)(2-y²) = (2+y²)(2+y)(2-y)
(x³-6)(x²+2) = (x²-2)²-xx^5 + 2x³ - 6x² - 12 = x^4 - 4x² + 4 - xx^5 + 2x³ - 6x² - 12 = x^4 - 4x² + 4 - xx^5 + 2x³ - 6x² - 12 = x^4 - 4x² + 4 - xx^5 + 2x³ - 6x² - 12 = x^4 - 4x² + 4 - xx^5 - x^4 + 2x³ + 2x - 2 = 0
а) xy²-x+5-5y² = (xy²-x)+(5-5y²) = x(y²-1) + 5(1-y²) = (x+5)(y²-1)б) m⁸+27m⁵ = (m^4)^2 + 3^3(m^5) = (m^4+3m^(5/2))(m^4-3m^(5/2))
а) y-100y³ = y(1-100y²)
б) 7a²-14ab+7b² = 7(a-b)²
в) 16-y⁴ = (2+y²)(2-y²) = (2+y²)(2+y)(2-y)
(x³-6)(x²+2) = (x²-2)²-x
x^5 + 2x³ - 6x² - 12 = x^4 - 4x² + 4 - x
x^5 + 2x³ - 6x² - 12 = x^4 - 4x² + 4 - x
x^5 + 2x³ - 6x² - 12 = x^4 - 4x² + 4 - x
x^5 + 2x³ - 6x² - 12 = x^4 - 4x² + 4 - x
x^5 - x^4 + 2x³ + 2x - 2 = 0
а) xy²-x+5-5y² = (xy²-x)+(5-5y²) = x(y²-1) + 5(1-y²) = (x+5)(y²-1)
б) m⁸+27m⁵ = (m^4)^2 + 3^3(m^5) = (m^4+3m^(5/2))(m^4-3m^(5/2))