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人気のある代数 >

因数 x^3-9

解

因数 completely

x^{3} - 9

解

(x - 39) (x^{2} + 39 x + 3 9^{2})

解答ステップ

x^{3} - 9

累乗根の規則を適用する:

a = (a)^{2}

9 = (39)^{3}

= x^{3} - (39)^{3}

立方数の差の公式を適用する:

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

x^{3} - (39)^{3} = (x - 39) (x^{2} + 39 x + (39)^{2})

= (x - 39) (x^{2} + 39 x + (39)^{2})

(39)^{2} = 9^{\frac{2}{3}}

= (x - 39) (x^{2} + 39 x + 9^{\frac{2}{3}})

9^{\frac{2}{3}} = 3 9^{2}

= (x - 39) (x^{2} + 39 x + 3 9^{2})

人気の例

solvefor A,b2A= 1/2 h(b_{1}+b_{2})

so l v e f or A, b 2 A = \frac{1}{2} h (b_{1} + b_{2})

solvefor x,e^{ln(x^2)}-16=0

so l v e f or x, e^{l n (x^{2})} - 16 = 0

solvefor r,V= 1/(3pir^2h)

so l v e f or r, V = \frac{1}{3 p i r ^{2} h}

solvefor t,-log_{10}(12)=-(((log_{10}(2)))/(5.1))t

so l v e f or t, - lo g_{10} (12) = - (\frac{( lo g _{10} ( 2 ) )}{5.1}) t

簡約 ((sqrt(-75)))/((sqrt(-72)))

s im pl i f y \frac{( - 75 )}{( - 72 )}