`x^2 + xy = x(x+y)`
`x^3 - 4x = x(x^2 - 4) = x(x-2)(x+2)`
`6a^2 b - 18ab = 6ab (a - 3)`
`x^4 - 8x = x(x^3 - 8) = x(x-2)(x^2 + 2x + 4)`
`(x-y)^3 - x^3 + y^3 = (x-y)(x-y)^2 - (x^3 - y^3) = (x-y)(x^2 - 2xy + y^2) - (x-y)(x^2 + xy + y^2) = (x-y)(x^2 - 2xy + y^2 - x^2 - xy - y^2) = (x-y)(-3xy)`
`-8x^2 y^2 -12xy^3 -4xy^2 = -4xy(2xy + 3y^2 + y)`
`3x(x-y)-2y(x-y) = (3x-2y)(x-y)`
`a(x+2) - 2b(x+2) + (x+2) = (a-2b+1)(x+2) `
`5x(x-y) -(y-x) = 5x (x-y) + (x-y) = (5x+1)(x-y)`
`2x(x+3) +(3+x) = (2x + 1)(x+3) `
`1-9x^2 = 1^2 - (3x)^2 = (1-3x)(1+3x)`
`16x^2 - 25 = (4x)^2 - 5^2 = (4x-5)(4x+5)`
`(x^2)/9 - (y^2)/16 = (x/3)^2 - (y/4)^2 = (x/3 - y/4)(x/3 + y/4)`
`a^4 - b^4 = (a^2)^2 - (b^2)^2 = (a^2 - b^2)(a^2 + b^2) = (a-b)(a+b)(a^2 + b^2)`