作业帮因式分解X^4-7X^2+1
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因式分解X^4-7X^2+1
因式分解X^4-7X^2+1
因式分解X^4-7X^2+1
X^4-7X^2+1
=（x²-1）²-5x²
=（x²-1+√5 x）（x²-1-√5 x）
x^4-7x^2+1
=x^4+2x^2+1-9x^2
=(x^2+1)^2-(3x)^2
=(x^2+3x+1)(x^2-3x+1)
x^4-7x^2+1
=x^4+2x^2+1-9x^2
=(x^2+1)^2-(3x)^2
=(x^2+3x+1)(x^2-3x+1)
x^4-7x^2+1=(x^4+2x^2+1)-9x^2=(x^2+1)^2-(3x)^2=(x^2+3x+1)(x^2-3x+1)
x^4-7x^2+1
=x^4+2x^2+1-9x^2
=(x^2+1)^2-(3x)^2
=(x^2+3x+1)(x^2-3x+1)