Question

Calculaţi:
a) (49 - 52) · (49 - 62). (49 - 72). (49 - 82);
b) (-27 +13) - (-27 +23) .... (-27 + 103);
c) (-2)3 + 10 · [(-1)2018 + (-1)2019 +2. (2.3-2)];
d) (-3)199 : (-3)198 – 4.{-2-2-[(-4)8 : 214 - 2]}.

Answer 1

R:a)29601;b)232;c)-49296;d)17,156

a) (49 - 52) · (49 - 62). (49 - 72). (49 - 82)=

3×13×23×33=39×23×33=897×33=

29601

b) (-27 +13) - (-27 +23) ....

(-27 + 103)=

-14-4+6+16+26+...+76=-18+22+62+102+142=

4+84+144=88+144=232

c) (-2)3 + 10 · [(-1)2018 +

(-1)2019 +2. (2.3-2)]=

-6+10×[-2018-2019+2×(6-2)]=

-6+10×(-4037+8)=-6+10×(-4929)=

-6-49290=-49296

d) (-3)199 : (-3)198 – 4.{-2-2-

[(-4)8 : 214 - 2]}=

(-3×199):(-3×198-4[-2-(-32:214-2)]=

199:198+8+4×16:107+8)=

1,006+8+0,15+8=17,156