Question

Calculați folosind formulele de calcul prescurtat:

a)

(√5-2)²+(√7-3)(3+√7)

b)

(√2+5)²-(√3+4)(4-√3)

c)

(3√3+7)(7-3√3)-(1-√7)²

d)

(3-2√6)(3+2√6)+(√5+1)²

e)

(2√7-1)²+(6+2√5)(2√5-6)

Trebuie cu rezolvare!!!

Answer 1

a) (√5-2)²+(√7-3)(3+√7)=5-4√5+4+7-9=7-4√5
b) (√2+5)²-(√3+4)(4-√3)=2+10√2+25-(16-3)=27+10√2-13=14+10√2
c) (3√3+7)(7-3√3)-(1-√7)²=49-27-(1-2√7+7)=22-(8-2√7)=22-8+2√7=14+2√7
d) (3-2√6)(3+2√6)+(√5+1)²=9-24+5+2√5+1=-8+2√5
e) (2√7-1)²+(6+2√5)(2√5-6)=28-4√7+1+20-36=13-4√7