化简 (x-5)^3+(5+x^3)

解答

化简

(x - 5)^{3} + (5 + x^{3})

2 x^{3} - 15 x^{2} + 75 x - 120

求解步骤

(x - 5)^{3} + (5 + x^{3})

使用法则:

a + (b + c) = a + b + c

(x - 5)^{3} + (5 + x^{3}) = (x - 5)^{3} + 5 + x^{3}

= (x - 5)^{3} + 5 + x^{3}

展开

(x - 5)^{3} : x^{3} - 15 x^{2} + 75 x - 125

= x^{3} - 15 x^{2} + 75 x - 125 + 5 + x^{3}

对同类项分组

= x^{3} + x^{3} - 15 x^{2} + 75 x - 125 + 5

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