因式分解 77x^4-72x^2-77

解答

因式分解

77 x^{4} - 72 x^{2} - 77

(11 x^{2} + 7) (7 x^{2} - 11)

求解步骤

77 x^{4} - 72 x^{2} - 77

令

u = x^{2}

= 77 u^{2} - 72 u - 77

因式分解

77 u^{2} - 72 u - 77 : (11 u + 7) (7 u - 11)

= (11 u + 7) (7 u - 11)

u = x^{2}

代回

= (11 x^{2} + 7) (7 x^{2} - 11)

e x p an d (2 x - 3 y - 4 z)^{3}

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s im pl i f y \frac{( 6 y - 6 x )}{2}

s im pl i f y \frac{sin ( x ) + ( cos ^{2} ( x ) )}{sin ( x )}

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