Докажите тождество люди добрые (5х-6)(25х^2+30x+36)-0,25(500x^3-864)=0 91x^3-(3x-4)(9x^2+12++4x)(9-12x+16x^2)=37

91x³-(3x-4)*(9x²+12x+16)-(3+4x)*(9-12x+16x²)=37
1. 27x³+36x²+48x-36x²-48x-64=27x³-64
2. 27-36x+48x²+36x-48x²+64x³=64x³+27
3. 91x³-(27x³-64)-(64x³+27)=91x³-27x³+64-64x³-27=91x³-91x³+37≡37.

(5x-6)*(25x²+30x+36)-0,25*(500x³-864)=0
1. (5x-6)*(25x²+30x+36)=125x³+150x²+180x-150x²-180x-216=125x³-216.
2. 0,25*(500x³-864)=125x³-216
3. 125x³-216-(125x³-216)=125x³-216-125x³+216≡0.

(5х-6)(25х^2+30х+36)-0.25(500х^3-864)=125х^3-216-125х^3+216=-216+216=0