因式分解 x^3+b^3

解答

因式分解

x^{3} + b^{3}

(x + b) (x^{2} + b^{2} - b x)

求解步骤

x^{3} + b^{3}

使用立方和公式:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

x^{3} + b^{3} = (x + b) (x^{2} - x b + b^{2})

= (x + b) (x^{2} - x b + b^{2})

= (x + b) (x^{2} + b^{2} - b x)

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e x p an d (cos (a) - 2 sin (b))^{2}