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Efectuati produsele:
a) (x-1)(x-2);
b) (x-3)(x+6);
c) (x+4)(x+5);
d) (2x+7)(x-2);
e) (1-2x)(3x+5);
f) (2x+3)(5x-4);
g) (2a+3b)(3a-b);
h) (4x-3)(4x+3);
i) (4x-5y)(3x+3y).

Dau coroana. Este de clasa a VIII-a.


Răspuns :

Răspuns:

Explicație pas cu pas:

a) (x-1)(x-2) = x(x-2)-1(x-2) = x²-2x-x+2 =  x²-3x+2

b) (x-3)(x+6) = x(x+6)-3(x+6) = x²+6x-3x-18 = x²+3x-18

c) (x+4)(x+5)=x(x+5)+4(x+5) = x²+5x+4x+20= x²+9x+20

d) (2x+7)(x-2)=2x(x-2)+7(x-2)=2x²-4x+7x-14= 2x²+3x-14

e) (1-2x)(3x+5)=1(3x+5)-2x(3x+5) = 3x+5-6x²-10x= -6x²-7x+5

f) (2x+3)(5x-4)=2x(5x-4)+3(5x-4) = 10x²-8x+15x-12=10x²+7x-12

g) (2a+3b)(3a-b)=2a(3a-b)+3b(3a-b) = 6a²-2ab+9ab-3b²=6a²+ab-3b²

h) (4x-3)(4x+3)=4x(4x+3)-3(4x+3) = 16x²+12x-12x-9=16x²-9

i) (4x-5y)(3x+3y)=4x(3x+3y)-5y(3x+3y)=12x²+12xy-15xy-15y²=12x²-3xy-15y²