Question

1. Efectuati folosind formula  (a+b)²=a²+2ab+b²  :
a) (x +2)²=x²+2·x·2+2²=
b) (x+3)²=
c) (a+6)²=
d) (2x+3)²=
e) (3x+a)²=
f) (a+4b)²=
g) (4x+3y)²=
h) (2a+5b)²=

2. Efectuati folosind formula (a-b)²=a²-2ab+b²  :
a) (x-3)²=x²-2·x·3+3²=
b) (x-1)²=
c) (a-5)²=
d) (3-a)²=
e) (2x-3)²=
f) (a-2x)²=
g) (4b-a)²=
h) (3x-4y)²=

3. Efectuati folosind formula (a+b)(a-b)=a²-b²    :
a) (x+1)(x-1)=
b) (x+4)(x-4)=
c) (a+2)(a-2)=
d) (2x-y)(2x+y)=
e) (3x+4y)(3x-4y)=
f) (5b-a)(5b+a)=
g) (8x-7y)(8x+7y)=
h) (10a-3b)(10a+3b)=

Answer 1

1. Efectuati folosind formula (a+b)²=a²+2ab+b² : a) (x +2)²=x²+2·x·2+2²=x²+4·x+4

b) (x+3)²=x²+2·x·3+3²=x²+6·x+9

c) (a+6)²=a²+2·a·6+6²=a²+12·a+36

d) (2·x+3)²=4·x²+2·2·x·3+3²


e) (3·x+a)²=9x²+6xa+a²


f) (a+4·b)²=a²+8ab+16b²

g) (4·x+3y)²=16x²+24xy+9y²

h) (2·a+5·b)²=4a²+20ab+25b²

2. Efectuati folosind formula (a-b)²=a²-2ab+b² :

a) (x-3)²=x²-2·x·3+3²=x²-6x+9

b) (x-1)²=x²-2x+1

c) (a-5)²=a²-10a+25

d) (3-a)²=9-6a+a²

e) (2x-3)²=4x²-12x+9

f) (a-2x)²=a²-4ax+4a²

g) (4b-a)²=16b²-8ab+a²

h) (3x-4y)²=9x²-24xy+16y²

3. Efectuati folosind formula (a+b)(a-b)=a²-b² :

a) (x+1)(x-1)=x²-1

b) (x+4)(x-4)=x²-16

c) (a+2)(a-2)=a²-4

d) (2x-y)(2x+y)=4x-y²

e) (3x+4y)(3x-4y)=9x²-16y²

f) (5b-a)(5b+a)=25b²-a²

g) (8x-7y)(8x+7y)=64x²-49y²

h) (10a-3b)(10a+3b)=100a²-9b²