1.
1) 8(x - 3)^2 + 16x = 8x^2 - 48x + 72 + 16x = 8x^2 - 32x + 72 = 8(x^2 - 4x + 9)
ответ: 8(x^2 - 4x + 9)
2) (y - 5)^2 - (y + 7)^2 = (y - 5 - y - 7)(y - 5 + y + 7) =
= -12(2y + 2) = - 24(y + 1)
ответ: -24(y + 1)
2.
1) (m - 4)(m + 4) + m(5 - m) = m^2 - 16 + 5m - m^2 =
= 5m - 16
ответ: 5m - 16
2) (x - 8)^2 - (x - 3)(x + 3) = x^2 - 16x + 64 - x^2 + 9= = 73 - 16x
ответ: 73 - 16x
3.
(8x-1)(8x+1) = 4x(16x + 1) - 2
64x^2 - 1 = 64x^2 + 4x - 2
4x = 1
x = 0.25
ответ: x = 0.25
1.
1) 8(x - 3)^2 + 16x = 8x^2 - 48x + 72 + 16x = 8x^2 - 32x + 72 = 8(x^2 - 4x + 9)
ответ: 8(x^2 - 4x + 9)
2) (y - 5)^2 - (y + 7)^2 = (y - 5 - y - 7)(y - 5 + y + 7) =
= -12(2y + 2) = - 24(y + 1)
ответ: -24(y + 1)
2.
1) (m - 4)(m + 4) + m(5 - m) = m^2 - 16 + 5m - m^2 =
= 5m - 16
ответ: 5m - 16
2) (x - 8)^2 - (x - 3)(x + 3) = x^2 - 16x + 64 - x^2 + 9= = 73 - 16x
ответ: 73 - 16x
3.
(8x-1)(8x+1) = 4x(16x + 1) - 2
64x^2 - 1 = 64x^2 + 4x - 2
4x = 1
x = 0.25
ответ: x = 0.25