4. Докажите тождество.
2х^2(4х^2-3)(3+4х^2)=32х^6 -18х^2.
5. Решите уравнение.
(9х-1)(х+3)-(3х-1)(3х+2)=22.
2х^2(4х^2-3)(3+4х^2)=32х^6 -18х^2.
5. Решите уравнение.
(9х-1)(х+3)-(3х-1)(3х+2)=22.
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Verified answer
2x²(4x² - 3)(3 + 4x² ) =32x⁶ - 18x²2x² ( (4x²)² - 3²) = 32x⁶ - 18x²
2x² ( 16x⁴ - 9) = 32x⁶ - 18x²
2x² * 16x⁴ - 2x² * 9 = 36x⁶ -18x²
36x⁶ - 18x² = 36x⁶ -18x²
тождество доказано.
(9х - 1)(х + 3) - (3х -1)(3х + 2) =22
9х² + 27х - х - 3 - (9х² + 6х - 3х - 2) = 22
9х² + 26х - 3 - (9х² + 3х - 2) = 22
9х² + 26х - 3 - 9х² - 3х + 2 = 22
23х - 1 = 22
23х = 23
х = 23 : 23
х = 1