Question

Folosind formule de calcul prescurtat , calculeaza :
a ) 23 la a doua
b) 45 la a doua
c ) 49 la a doua
d ) 97 la a doua
e ) 103 la a doua
f) 195 la a doua

Answer 1

[tex]a ) \\ 23^2 =(20+3)^2 = 20^2 + 2\times 20 \times 3 + 3^2 =400+120+9=\boxed{529} \\ \\ b) \\ 45^2 = (40+5)^2 = 40^2+2\times 40\times 5+ 5^2 =1600+400+25 = \boxed{2025} \\ \\ c ) \\ 49^2 = (50 - 1)^2 = 50^2-2\times 50 \times1 + 1^2 =2500 - 100+1 = \boxed{2401} \\ \\ d ) \\ 97^2 = (100-3)^2 = 100^2- 2\cdot 100\cdot 3 + 3^2 = 10000 -600 + 9 =\boxed{9409} [/tex]


[tex]e ) \\ 103^2 = (100+3)^2 = 100^2+ 2\cdot 100\cdot 3 + 3^2 = 10000 +600 + 9= \boxed{10609} \\ \\ f) \\ 195^2 = (200-5)^2= 200^2 - 2\cdot 200 \cdot 5 + 5^2 = \\ = 40000-2000+2 =\boxed{38025}[/tex]