Áp dụng HĐT: `a^2-b^2=(a+b)(a-b)`
a) `(4x^2-3x-18)^2-(4x^2+3x)^2`
`=(4x^2-3x-18-4x^2+3x)(4x^2-3x-18+4x^2-3x)`
`=-18(8x^2-6x+18)`
`=-36(4x^2-3x+9)`
b) `(x^2-25)^2-(x-5)^2`
`=(x^2-25-x+5)(x^2-25+x-5)`
`=(x^2-x-20)(x^2+x-30)`
c) `(xy+1)^2-(x+y)^2`
`=(xy+1-x-y)(xy+1+x+y)`
`=[x(y-1)-(y-1)][x(y+1)+(y+1)]`
`=(x-1)(y-1)(x+1)(y+1)`