Uprość wyrażenie:
a. (2x-y)^2
b. -4(3x+2y)^2 - (y+3x)(3x-y)
c. (pierw z 5-pierw z 3)(pierw z 5 + pierw z 3)
(pierw-pierwiastek drugiego stopnia)
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a.
(2x-y)*(2x-y)=4x^2-2xy-2xy+y^2=4x^2-3xy+y^2
b.
-4(3x+2y)^2-(y+3x)(3x-y)=-4(9x^2+6xy+6xy+4y^2)-(3xy-y^2+9x^2-3xy)=-4(9x^2+12xy+4y^2)-3xy+y^2-9x^2+3xy=-36x^2-48xy-16y^2+y^2-9x^2=-45x^2-48xy-15y^2
c.