Вычислите: (3√3+2√7+√21+6)(3√3+2√7-√21-6)

Question

Вычислите: (3√3+2√7+√21+6)(3√3+2√7-√21-6)

Answer 1

(3√3+2√7+√21+6)*(3√3+2√7-√21-6)={(3√3+2√7)+(√21+6)}*{(3√3+2√7)-(√21+6)}=
={(3√3+2√7)²-(√21-6)²=(3√3)²+2*3√3*2√7+(2√7)²} - {(√21)²+2*√21*6+6²}=
=(9*3+12√21+4*7) - (21+12√21+36)=27+12√21+28-21-12√21-36= -2

Ответ: -2