Question

1). Verificati pentru a= -5 si b= +3 egalitatile:
a). $(a+b)^{2}$ = $a^{2} + b^{2} + 2ab$
b). $(a-b)^{2} = a^{2} + b^{2}$ - 2ab
c). (a-b) x (a+b) = $a^{2} - b^{2}$
d). $(a + b)^{3} = a^{3} + b^{3} + 3ab$ x (a+b)

2). Calculati:
a). [$(-2)^{3}$ - 10 x $(-5)^{2}$ x (-30+50:2)] x (-50)
b). $(-3)^{2}$ + 10 x $[(-1)^{2012} + (-1)^{2013}$ + 2 x (-2+2 x 3)]
c). $(-2)^{199} : 2^{197}$ - 10 x {-2 - 2 x $[(-4)^{7} : 2^{12}$ -2]}
d). 5 x {$(-1)^{100} + (-41616 : 204 + (-1)^{101}$ x [-2 + 2 x (9-10)]}

Answer 1

a) (-5+3)²=(-5)²+3²+2*(-5)*3
(-2)²=25+9+(-30)
4=25+9-30
4=4

B)(-5-3)²=(-5)²+3²-2*(-5)*3
(-2)²=25+9-(-30)
4=25+9+30
4=64

c)(a-b) x (a+b) = 
(-5-3)*(-5+3)=(-5)²-3²
-8*(-2)=25-9
16=16

d) x (a+b)
(-5+3)³=(-5)³+3³+3*(-5)*3*(-5+3)
(-2)³=-125+27+(-135)*(-2)
-8=-98-135*2
-8=-98-270
-8=-368

Sper ca te-am ajutat doar atata am putut face te ajutam si acolo dar nu mai am timp