Question

Verificati egalitatile,stabilind valoarea de adevar a fiecareia:a)6^2+7^2=(6+7)^2
b)11^3-10^3=(11-10)^3
c)3^2+4^2=5^2;
d)4^2+5^2=6^2;
e)3^3+4^3+5^3=6^3;
f)8^2-7^2=(8-7)(8+7).
DAU CORONITA!!!

Answer 1

a) 6^2+7^2=(6+7)^2 <=> 36+49 = 13² => 85 = 169 (F)

b) 11^3-10^3=(11-10)^3 <=> 1331 - 1000 = 1 => (F)

c) 3^2+4^2=5^2 <=> 9+16 = 25 (A)

d)4^2+5^2=6^2 <=> 16+25 = 36 (F)

e)3^3+4^3+5^3=6^3 <=> 27+64 = 216 (F)

f)8^2-7^2=(8-7)(8+7) <=> 64 - 49 = 8²-7² (A)

Answer 2

a) 6² + 7² = ( 6 + 7)² ( Fals )

6² + 7² = 36 + 49 = 85

( 6 + 7 )² = 13² = 169

_____________________

b) 11³ - 10³ = ( 11 - 10 )³ FALS

11³ - 10³ =1 331 - 1 000 = 331

( 11 - 10 )³ = 1³ = 1

11³ - 10³ > ( 11 - 10 )³

__________________

c)

3² + 4² = 5² ADEVARAT

3² + 4² = 9 + 16 = 25

5² = 25

_______________

d ) 4² + 5² = 6² FALS

4² + 5² = 16 + 25 = 41

6² = 36

41 > 36

__________________

e) 3³ + 4³ + 5³ = 6³ ADEVARAT

3³ + 4³ + 5³ = 27 + 64 + 125 = 216

6³ = 36 x 6 = 216

___________________________

f) 8² - 7² = ( 8 - 7 ) ( 8 + 7 ) ADEVARAT

8² - 7² = 64 - 49 = 15

( 8 - 7 ) ( 8 + 7 ) = 1 x 15 = 15