Question

Срочноо...(v2-1)17степени умножить на (v2+1)15 степени плюс v8​

Answer 1

$(sqrt2-1)^{17}cdot(sqrt2+1)^{15}+sqrt8=(sqrt2-1)^{2}cdot(sqrt2-1)^{15}cdot(sqrt2+1)^{15}+sqrt8=\\(2-2sqrt2+1)}cdot((sqrt2-1)cdot(sqrt2+1))^{15}+2sqrt2=\\(3-2sqrt2)}cdot(2-1)^{15}+2sqrt2=(3-2sqrt2)}cdot1^{15}+2sqrt2=\\(3-2sqrt2)}cdot1+2sqrt2=3-2sqrt2+2sqrt2=3$