Đáp án:
`x^4 + x^2 - 75`
`= (x^2)^2+ 2.x^2. 1/2 + (1/2)^2 - 1/4 - 75`
`= (x^2 + 1/2)^2 - 301/4`
`= (x^2 + 1/2)^2 -` $(\dfrac{\sqrt{301}}{2})^{2}$
`= (x^2 + 1/2 +` $\dfrac{\sqrt{301}}{2}$`)(x^2 + 1/2 -` $\dfrac{\sqrt{301}}{2}$`)`
`x^4 + 10x^2 - 75`
`= x^4 + 15x^2 - 5x^2 - 75`
`= (x^4 + 15x^2) - (5x^2 + 75)`
`= x^2 (x^2 + 15) - 5(x^2 + 15)`
`= (x^2 + 15)(x^2 - 5)`