Răspuns :
Răspuns:
a) (3+5)²=8²=64
3²+5²=9+25=34
(3+5)² > 3²+5²
b) (8-5)²=3²=9
8²-5²=64-25=39
(8-5)² < 8²-5²
c) 10²=10·10=100
6²+8²=36+64=100
10²=6²+8²
d) (6:3)²=2²=4
6²:3²=36:9=4
(6:2)²=6²:3²
e) (7·5)²=35²=35·35=1225
7²·5²=49·25=1225
(7·5)²= 7²·5²
f) 3³=27
1³+2³=1+8=9
3³ > 1³+2³
Răspuns:
a)
[tex]\bf (3+5)^{2} = 8^{2} = 64[/tex]
[tex]\bf 3^{2}+5^{2} = 9+25 = 34[/tex]
[tex]\red{\bf (3+5)^{2}~~\boxed{~ >~}~~3^{2}+ 5^{2}}[/tex]
b)
[tex]\bf (8-5)^{2} = 3^{2} = 9[/tex]
[tex]\bf 8^{2}-5^{2} = 64-25 = 39[/tex]
[tex]\green{\bf (8-5)^{2}~~\boxed{~ <~}~~8^{2}- 5^{2}}[/tex]
c)
[tex]\bf 10^{2} = 100[/tex]
[tex]\bf 6^{2}+8^{2} = 36+64= 100[/tex]
[tex]\blue{\bf 10^{2}~~\boxed{~ =~}~~6^{2}+8^{2}}[/tex]
d)
[tex]\bf (6:3)^{2} = 2^{2} = 4[/tex]
[tex]\bf 6^{2}:3^{2} = 36:9 = 4[/tex]
[tex]\purple{\bf (6:3)^{2}~~\boxed{~ =~}~~6^{2}:3^{2}}[/tex]
e)
[tex]\bf (7\cdot5)^{2} = 35^{2} = 1225[/tex]
[tex]\bf 7^{2}\cdot5^{2} = 49\cdot25 = 1225[/tex]
[tex]\pink{\bf (7\cdot5)^{2}~~\boxed{~ =~}~~7^{2}\cdot5^{2}}[/tex]
f)
[tex]\bf 3^{3} = 27[/tex]
[tex]\bf 1^{3}+2^{3} = 1+8= 9[/tex]
[tex]\red{\bf 3^{3}~~\boxed{~ >~}~~1^{3}+ 2^{3}}[/tex]
[tex]==pav38==[/tex]