Explicație pas cu pas:
a)
[tex] {19}^{2} - {15}^{2} - {11}^{2} = 361 - 225 - 121 = 15 \\ [/tex]
b)
[tex]{2}^{3} + {3}^{3} + {4}^{3} + {5}^{3} = 8 + 27 + 64 + 125 = 224 \\ [/tex]
c)
[tex]27 \div {3}^{2} - {2}^{6} \div 32 = {3}^{3} \div {3}^{2} - {2}^{6} \div {2}^{5} = 3 - 2 = 1 \\ [/tex]
d)
[tex]{5}^{2} - {4}^{2} - {3}^{2} = 25 - 16 - 9 = 0 \\ [/tex]
e)
[tex]{(4 + 3)}^{2} - {4}^{2} - {3}^{2} = {7}^{2} - 16 - 9 = 49 - 25 = 24 \\ [/tex]
f)
[tex]19 - {2}^{2} \times \left[4 \times 9 \div (3 \times {2}^{2})\right] = 19 - 4\times \left[36 \div (3 \times4)\right] \\ = 19 - 4\times \left(36 \div 12\right) = 19 - 4 \times 3 = 19 - 12 = 7[/tex]
g)
[tex]( {3}^{2} - {2}^{3}) \div ( {6}^{2} - 7 \times 5) = (9 - 8) \div (36 - 35) \\ = 1 \div 1 = 1[/tex]
h)
[tex]( {4}^{3} - {23}^{0}) \div {3}^{2} + {2}^{2} \times 8 =(64 - 1) \div 9 + 4 \times 8 \\ = 63 \div 9 + 32 = 7 + 32 = 39 [/tex]
