[tex]a) \\W(x)=(x^3+x-2)+(x^2+x+1)-(2x^3-3x^2)\\W(x)=x^3+x-2+x^2+x+1-2x^3+3x^2\\W(x)=x^3-2x^3+x^2+3x^2+x+x-2+1\\W(x)=-x^3+4x^2+2x-1[/tex]
[tex]b)\\W(x)=(2x-1)(x^2-3x+1)(-2x^3-5x)\\W(x)=(2x^3-6x^2+2x-x^2+3x-1)(-2x^3-5x)\\W(x)=(2x^3-7x^2+5x-1)(-2x^3-5x)\\W(x)=-4x^6+14x^5-10x^4+2x^3-10x^4+35x^3-25x^2+5x\\W(x)=-4x^6+14x^5-20x^4+37x^3-25x^2+5x[/tex]
[tex]c) \\W(x)=(x^4+x^3+x^2+x+1)(-4x^2-5)+(2x^2+x+1)\\W(x)=-4x^6-4x^5-4x^4-4x^3-4x^2-5x^4-5x^3-5x^2-5x-5+2x^2+x+1\\W(x)=-4x^6-4x^5-9x^4-9x^3-7x^2-4x-4\\[/tex]
[tex]d) \\W(x)=x^2+5(x^5-x)(x^3-3x+7)\\W(x)=x^2+(5x^5-5x)(x^3-3x+7)\\W(x)=x^2+5x^8-5x^4-15x^6+15x^2+35x^5-35x\\W(x)=5x^8-15x^6+35x^5-5x^4+16x^2-35x[/tex]
[tex]e) \\W(x)=(x^3+5x)^2\\W(x)=(x^3)^2+2*x^3*5x+(5x)^2\\W(x)=x^6+10x^4+25x^2[/tex]
[tex]f)\\W(x)=(x^3-2x)^2\\W(x)=(x^3)^2-2*x^3*2x+(2x)^2\\W(x)=x^6-4x^4+4x^2[/tex]
[tex]g) \\W(x)=(x^2+4x-5)^2\\W(x)=(x^2+4x-5)(x^2+4x-5)\\W(x)=x^4+4x^3-5x^2+4x^3+16x^2-20x-5x^2-20x+25\\W(x)=x^4+8x^3+6x^2-40x+25[/tex]
[tex]h) \\W(x)=(3x^3-2x^2+7x+1)^2\\W(x)=(3x^3-2x^2+7x+1)(3x^3-2x^2+7x+1)\\W(x)=9x^6-6x^5+21x^4+3x^3-6x^5+4x^4-14x^3-2x^2+21x^4-14x^3+49x^2+7x+3x^3-2x^2+7x+1\\W(x)=9x^6-12x^5+46x^4-22x^3+45x^2+14x+1[/tex]
