Răspuns :
A= (√5+2√2)² - (√160-(-2) )³
A= (√5+2√2)²-(√160+2)³
Formula de calcul prescurtat (a+b)²=a²+2ab+b²
(a+b)³=a³+3a²b+3ab²+b³
(√5+2√2)²=√5²+2×√5×2√2+(2√2)²=5+4√10+2×2=
=9+4√10
(√160+2)³=(√160)³+3×(√160)²×2+3×√160×2²+2³=
=√4096000+3×2×160+12√160+8=
=640√10+960+48√10+8=
= 688√10+968
A=(9+4√10)-(688√10+968)=9+4√10-688√10-968= -684√10-956
A= (√5+2√2)²-(√160+2)³
Formula de calcul prescurtat (a+b)²=a²+2ab+b²
(a+b)³=a³+3a²b+3ab²+b³
(√5+2√2)²=√5²+2×√5×2√2+(2√2)²=5+4√10+2×2=
=9+4√10
(√160+2)³=(√160)³+3×(√160)²×2+3×√160×2²+2³=
=√4096000+3×2×160+12√160+8=
=640√10+960+48√10+8=
= 688√10+968
A=(9+4√10)-(688√10+968)=9+4√10-688√10-968= -684√10-956