Đáp án:
`H=2x(x-2)(x^2-2x+26).`
Giải thích các bước giải:
`8)H=(x+1)^4+(x-3)^4-82`
`H=(x+1)^4-1+(x-3)^4-81`
`H=[(x+1)^2-1][(x+1)^2+1]+[(x-3)^2-9][(x-3)^2+9]`
`H=(x^2+2x+1-1)(x^2+2x+1+1)+(x^2-6x+9-9)(x^2-6x+9+9)`
`H=(x^2+2x)(x^2+2x+2)+(x^2-6x)(x^2-6x+18)`
`H=x[(x+2)(x^2+2x+2)+(x-6)(x^2-6x+18)]`
`H=x[(x-2+4)(x^2+2x+2)+(x-2-4)(x^2-6x+18)]`
`H=x[(x-2)(x^2+2x+2)+4(x^2+2x+2)+(x-2)(x^2-6x+18)-4(x^2-6x+18)]`
`H=x[(x-2)(x^2+2x+2)+(x-2)(x^2-6x+18)+4(x^2+2x+2-x^2+6x-18)]`
`H=x[(x-2)(x^2+2x+2+x^2-6x+18)+4(8x-16)]`
`H=x[(x-2)(2x^2-4x+20)+32(x-2)]`
`H=x[(x-2)(2x^2-4x+20+32)]`
`H=x(x-2)(2x^2-4x+52)`
`H=2x(x-2)(x^2-2x+26).`