a) \((x - y)(x + y)(x^2 + y^2) = (x^2 - y^2)(x^2 + y^2) = x^4 - y^4\)
б) \((2a + b)(2a - b)(4a^2 + b^2) = (4a^2 - b^2)(4a^2 + b^2) = 16a^4 - b^4\)
в) \((c^3 + b)(c^3 - b)(c^6 + b^2) = (c^6 - b^2)(c^6 + b^2) = c^{12} - b^4\)
г) \((3m - 2)(3m+2) = 9m^2 - 4\)
д) \(25n^2 - (7+5n)(7-5n) = 25n^2 - (49 - 25n^2) = 25n^2 - 49 + 25n^2 = 50n^2 - 49\)
e) 6x² - (x -0,5)(x+0.5) =6x^2 -(x^2-0.25)=5x^2 + 0.25
Ответ:
a) \(x^4 - y^4\)
б) \(16a^4 - b^4\)
в) \(c^{12} - b^4\)
г) \(9m^2 - 4\)
д) \(50n^2 - 49\)
е) \(5x^2 + 0.25\)