Question

Sendo A= 2x - 1, B= 4x - 3, C= - 5x + 2 e D= -3x - 2, calcule

a) A.B + C.D=
b) A.C - 3.D=
c) B.D - 5.A + 3.C=
d) 2.A + 3.B - 2.C + 5.D=

Answer 1

a)A.B+C.D

 (2x-1)(4x-3)+(-5x+2)(-3x-2)

(8x²-6x-4x+3)+(+15x²+10x-6x-4)

(8x²-10x+3)+(+15x²+4x-4)

8x²+15x²-10x+4x+3-4

23x²-6x-1=0

b) A.C-3.D

(2x-1)(-5x+2)-3(-3x-2)

(-10x²+4x+5x-2)+9x+6

-10x²+4x+5x+9x-2+6

-10x²+18x+4=0

c) B.D-5.A+3.C

(4x-3)(-3x-2)-5(2x-1)+3(-5x+2)

(-12x²-8x+9x+6)-10x+5-15x+6

-12x²-8x-10x-15x+9x+6+5+6

-12x²-24x+17=0

d) 2.A+3.B-2.C+5.D

2(2x-1)+3(4x-3)-2(-5x+2)+5(-3x-2)

4x-2+12x-9+10x-4-15x-10

+11x-25=0