\(1,\\ a,x^2\left(x-2x^3\right)=x^3-2x^5\\b,\left(x^2+1\right)\left(5-x\right)=5x^2-x^3+5-x\\ c,\left(x-2\right)\left(x^2-3x+4\right)=x^3-2x^2-3x^2+6x+4x-8=x^3-5x^2+10x-8\\ d,\left(x-2\right)\left(x-x^2+4\right)=x^2-x^3+4x-2x+2x^2-8=3x^2-x^3+2x-8\\ e,\left(x^2-1\right)\left(x^2+2x\right)=x^4-2x^3-x^2-2x\\ f,\left(x-1\right)\left(x+1\right)=x^2-1 \)
\(3,\\ a,1-2y+y^2=\left(y-1\right)^2\\ b,\left(x+1\right)^2-25=\left(x+6\right)\left(x-4\right)\\ c,1-4x^2=\left(1-2x\right)\left(1+2x\right)\\ d,8-27x^3=\left(2-3x\right)\left(4+6x+9x^2\right)\\ e,27+27x+9x^2+x^3=\left(x+3\right)^3\\ f,8x^3-12x^2y+6xy^2-y^3=\left(2x-y\right)^3\\ g,x^3+8y^3=\left(x+2y\right)\left(x^2-2xy+4y^2\right)\)
\(2,\\ a,\left(x-2y\right)^2=x^2-4y+4y^2\\ b,\left(2x^2+3\right)^2=4x^4+12x^2+9\\ c,\left(x-2\right)\left(x^2-2x+4\right)=x^3-8\\ d,\left(2x-1\right)^3=8x^3-12x^2+6x-1\)