11 m^2-11=11(m^2-1) ^^^^^^^^^^^^^^^^^^^^^^^^^
1)
(4a² - 3c)² = 16a⁴ - 24a²c + 9c²
2)
(2a²+3c)(4a² - 6ac + 9c²) = 8a⁴ - 12a³c + 18a²c² + 12a²c - 18ac² + 27c³
3)
16a⁴ - 25a² = a²(4a - 5)(4a + 5) = (4a² - 5a)(4a² + 5a)
4)
-4x⁴ + 8x² - 4 = -4(x²-1)² = -4((x-1)(x+1))²
5)
7х² + 4х + 11 < 8х² + 3х - 1,
7х² + 4х+ 11 - 8х² - 3х + 1 < 0,
-х² + х + 12 < 0,
х² - х - 12 > 0,
Д = (-1)² - 4*1*(-11) = 1 + 48 = 49,
х1 = (1+7)/2*1 = 8/2 = 4,
х2 = (1-7)/2*1 = -6/2 = -3,
(х-4)(х+3) > 0,
х - 4 > 0, х + 3 >0,
х > 4 х >-3
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