Question

3Descompuneți în factori expresiile:
a) ( – 2)2 + 2( – 2) + 1;
b) (m +5)2 – 4(m + 5) + 4;
c) ( + 3)2 – 2( + 3)( – 1)+ ( – 1)2;
d) 94y2z2 + 24 2yz + 16;
e) 4( – 2)2 – 12( – 2) + 9.
4Descompuneți în factori:
a) 2 – 64;
c) 42 – 25;
e) 4(2 – 1)2 – 49;
b) 121–y2;
d) 94y2 – 16;
f) 816y2 – 4.

Answer 1

Răspuns:

3.

a)

$- 4 - 4 + 1 = - 7$

b)

$2(m + 5) - 4(m + 5) + 4 = - 2(m + 5) + 4 = - 2(m + 5 - 2) = - 2(m + 3)$

c)

$3 \times 2 + 2 \times 3 \times 1 - 1 \times 2 = 2(2 \times 3 - 1) = 2(6 - 1) = 2 \times 5 = 10$

d)

$376yz + 24 \times (2yz) + 16 = 8(47yz + 3 \times 2yz + 2) = 8(47yz + 6yz + 2) = 8(53yz + 2)$

e)

$- 16 + 24 + 9 = 17$

4.

a)

$2 - 2 ^{6} =$

C)

$42 = 2 \times 3 \times 7$

$25 = 5 ^{2}$

$= (2 \times 3 \times 7) - 5 ^{2}$

d)