Question

a) (5x-2)(5x+2)-(3x-1)^2 + 4x=

b) (3y-4)(5y+1)-(3y-4)^2 +2 (5y+1)^2 +(y-2)(y+2)=

c) (x+2)^3 -(x-2)(x^2 +2x+4)=

e) (2x-3)^2 - 4x(2x-6)+(x-5)^2=

f) 3(4x-y)^2 + 4(x+3y)^2 - (x+y)(x-y) gdy x=-0,1 a y= 0,2

g) 5(x+3)^2 -5(x-4)(x+4) + (x+1)^3 gdy x=-2 pierwiasteki z 3

h)

(x-y)(3x+y)-(3x-2y)^2 -10xy

--------------------------------------------- <---ułamek gdy x=-2 y=3

5(2x-y)^2 - 4(x+y)^2 + 28xy

Answer 1

a) = 25x^2-4-(9x^2-6x+1)+4x= 25x^2-4-9x^2+6x-1+4x= 16x^2+10x-5

b) = 15y^2+3y-20y-4-9y^2+24y-16+50y^2+20y+2+y^2-4= 57y^2+27y-22

c) = x^3+6x^2+12x+8-x^3-2x^2-4x+2x^2+4x+8=6x^2+12x+16

e) = 4x^2-12x+9-8x^2+24x+x^2-10x+25= -3x^2+2x+34

f) = 3(16x^2-8xy+y^2)+4(x^2+6xy+9y^2)-(x^2-y^2)=

      48x^2-24xy+3y^2+4x^2+24xy+36y^2-x^2+y^2=

      51x^2+40y^2=51(-0,1)^2+40(0,2)^2= 0,51+1,6=2,11

g) = 5(x^2+6x+9)-5(x^2-16)+x^3+3x^2+3x+1= 5x^2+30x+45-5x^2+80+x^3+3x^2+3x+1

    = x^3+3x^2+33x+126=(-2pierwiastki z 3)^3+3(-2pierwiastki z 3)^2+33(-2pierwiastki z

    3)+126 = -24pierwiastki z 3 +36 - 66 pierwiastków z 3 +126= -90pierwiastków z 3

    +162