a) \((0.8x + 15)(0.8x - 15) + 0.36x^2 = 0.64x^2 - 225 + 0.36x^2 = x^2 - 225\)
б) \(5b^2 + (3 - 2b)(3 + 2b) = 5b^2 + 9 - 4b^2 = b^2 + 9\)
в) \(2x^2 - (x + 1)(x - 1) = 2x^2 - (x^2 - 1) = 2x^2 - x^2 + 1 = x^2 + 1\)
г) \((3a - 1)(3a + 1) = 9a^2 - 1\)
д) \(100x^2 - (5x - 4)(5x+4) = 100x^2 - (25x^2 -16) = 75x^2 + 16\)
e) 22c²+(-3c-7)(3c-7) = 22c^2 + (9c^2 +49)= 31c^2 + 49\)
Ответ:
a) \(x^2 - 225\)
б) \(b^2 + 9\)
в) \(x^2 + 1\)
г) \(9a^2 - 1\)
д) \(75x^2 + 16\)
е) \(31c^2 + 49\)