`(x+2)(x+4)²(x+8)-63x²`
`=(x^2+10x+16)(x^2+8x+16)-63x^2`
`=(x^2+9x+16+x)(x^2+9x+16-x)-63x^2`
`=(x^2+9x+16)^2-x^2-63x^2`
`=(x^2+9x+16)^2-(8x)^2`
`=(x^2+9x+16-8x)(x^2+9x+16+8x)`
`=(x^2+x+16)(x^2+17x+16)`
`4x⁴+81`
`=4x⁴+81+36x^2-36x^2`
`=(2x^2+9)^2-(6x)^2`
`=(2x^2-6x+9)(2x^2+6x+9)`