Question

1.Упростите помогите
а)
б)

Answer 1

a) a^2 -8a+16 =(a -4)^2
16 -a^2 = -(a^2 -16) = -(a-4)(a+4)

=(a -4 -6a)/(a -4)^2 *(-(a-4)(a+4)/(5a+4) =(-4 -5a)*(-(a -4)(a+4)) /(a -4)^2*(5a+4) =
-(5a+4)(-(a+4)) /(a -4)(5a+4) =(a +4) /(a -4)

ответ: (a+4)/(a-4)

b) √5*(√10 +√5) -5/2√8 =(√5*√10) +(√5)^2 -(5√8)/2 =√(5*2*5) +5 -(5√(4*2))/2 =5√2 +5 -(5*2√2)/2 =5√2 +5 -5√2 =5
ответ: 5