1: \(=\left(y-1\right)^2\)
2: \(=\left(x+1+5\right)\left(x+1-5\right)=\left(x+6\right)\left(x-4\right)\)
3: =(1-2x)(1+2x)
\(=\left(2-3x\right)\left(4+6x+9x^2\right)\)
5: \(=\left(x+3\right)^3\)
6: \(=\left(2x-y\right)^3\)
\(1.1-2y+y^2=\left(1-y\right)^2\\ 2.\left(x+1\right)^2-25=\left(x+1-5\right)\left(x+1+5\right)=\left(x-4\right)\left(x+6\right)\\ 3.1-4x^2=\left(1-2x\right)\left(1+2x\right)\\ 4.8-27x^3=\left(2-3x\right)\left(4+6x+9x^2\right)\\ 5.27+27x+9x^2+x^3=\left(3+x\right)^3\\ 6.8x^3-12x^2y+6xy^2-y^3=\left(2x-y\right)^3\\ 7.x^3+8y^3=\left(x+2y\right)\left(x^2-2xy+4y^2\right)\\ 8.3x^2-6x+9x^2=12x^2-6x=6x\left(2x-1\right)\\ 9.10x\left(x-y\right)-6y\left(y-x\right)=10x\left(x-y\right)+6y\left(x-y\right)=\left(10x+6y\right)\left(x-y\right)=2\left(5x+3y\right)\left(x-y\right)\)
\(10.3x^2+5y-3xy-5x=\left(3x^2-3xy\right)-\left(5x-5y\right)=3x\left(x-y\right)-5\left(x-y\right)=\left(3x-5\right)\left(x-y\right)\)
