Question

Efectuati urmatoarele calcule reducand termenii asemenea

a) X(x+3)-x(x-3)

b) (x-2)(x+1)-x(x-3)

c) a(b+c)-b(a-c)

d) (2x+1)(2-x)+x(2x+3)

Answer 1

a) x(x+3)-x(x-3) = x^2+3x-x^2+3x=6x

b) (x-2)(x+1)-x(x-3) = x^2+x-2x-2 -x^2 +3x = 2x-2

c) a(b+c)-b(a-c) = ab+ac-ab+bc=ac+bc=(a+b)*c

d) (2x+1)(2-x)+x(2x+3) = 4x-2x^2+2-x+2x^2+3x = 6x+2

Answer 2

Răspuns:

Explicație pas cu pas:

a.  x(x+3)-x(x-3)=

    x²+3x-x²+3x=6x

b.  (x-2)(x+1)-x(x-3)=

     x²-2x+x-2-x²+3x=2x

c.  a(b+c)-b(a-c)=

    ab+ac-ab+bc=

     ac+bc=c(a+b)

d.  (2x+1)(2-x)+x(2x+3)=

     4x+2-2x²-x+2x²+3x=

     6x+2=2(3x+1)