Question

a) {2[(2+3-5)²-(2x2÷1)-(9+5)]}(2²+1)
b) [(10+15)(5x12)²-(16-4x3)]÷6
c) [(17-15)³+(7-12)²]÷[(6-7)x(12-23)
d) 14-{7+4x3-[(-2)2x2-6]}+(22+6-5x3)+3-(5-23÷2)​

Answer 1

Se trata de problemas de despeje y solución de expresiones matemáticas.

a) {2[(2 + 3 – 5)² – (2 x 2 ÷ 1) – (9 + 5)]}(2² + 1)  

{2[(5 – 5)² – (4 ÷ 1) – (14)]}(4 + 1)

{2[(– (4) – (14)]}(5)

{2[– 4 – 14]}(5)

{2 [– 18]}(5)

{– 36}(5)

Solución.

– 180

b) [(10 + 15)(5 x 12)² – (16 – 4 x 3)] ÷ 6

[(25)(60)² – (16 – 12)] ÷ 6

[(25)(3.600) – (4)] ÷ 6

[90.000 – 4] ÷ 6

89.996 ÷ 6

Solución.

14.999,33….

c) [(17 – 15)³ + (7 – 12)²] ÷ [(6 – 7) x (12 – 23)]  

[(2)³ + (– 5)²] ÷ [(– 1) x (– 11)]

[8 + 25] ÷ 11

33 ÷ 11

Solución.

3

d) 14 – {7 + 4 x 3 – [(– 2) 2 x 2 – 6]} + (22 + 6 – 5 x 3) + 3 – (5 – 23 ÷ 2)

14 – {7 + 12 – [(– 2) 4 – 6]} + (22 + 6 – 15) + 3 – (5 – 23 ÷ 2)

14 – {19 – [– 8 – 6]} + (13) + 3 – (– 18 ÷ 2)

14 – {19 – [– 14]} + 19 – (– 9)

14 – {19 + 14} + 19 + 9

14 – 33 + 19 + 9

42 – 33

Solución.

9