Zadanie 6
a)
[-(5x^4 + 3x^2 - 4x) + 3x^2(2x^2 - 1)] * (1-2x)=
(1-2x)(-5x^4-3x^2+4x+6x^4-3x^2)=
-5x^4-3x^2+4x+6x^4-3x^2+10x^5+6x^3-8x^2-12x^5+6x^3=
-2x^5+x^4+12x^3-14x^2+4x
b)
[4x(-2x^9 +7x^3) - (20x^4 - 8x^{10})] * [1-5(2-x^2)]=
(-8x^{10}+28x^4-20x^4+8x^{10})*(1-10-x^2)=
8x^4(-x^2-9)=-8x^6+72x^4
c)
(3-4x^3)(5x^2 + x) - [-5(x^5 + 2x^2) + x(6x^4 -5x^2)]=
15x^2+3x-20x^5-4x^4-(-5x^5-10x^2+6x^5-5x^3)=
15x^2+3x-20x^5-4x^4+5x^5+10x^2-6x^5+5x^3=
-21x^5-4x^4+5x^3+25x^2+3x