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受欢迎的代数 >

因式分解-4xc(x-c)^2(2c(x-c))

解答

因式分解

- 4 x c (x - c)^{2} (2 c (x - c))

解答

- 8 c^{2} x (x - c)^{3}

求解步骤

- 4 x c (x - c)^{2} (2 c (x - c))

去除括号:

(a) = a

= - 4 x c (x - c)^{2} \cdot 2 c (x - c)

数字相乘:

4 \cdot 2 = 8

= - 8 cc x (x - c)^{2} (x - c)

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

(x - c)^{2} (x - c) = (x - c)^{2 + 1}

= - 8 x cc (x - c)^{2 + 1}

数字相加:

2 + 1 = 3

= - 8 x cc (x - c)^{3}

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

cc = c^{1 + 1}

= - 8 x c^{1 + 1} (x - c)^{3}

数字相加:

1 + 1 = 2

= - 8 x c^{2} (x - c)^{3}

流行的例子

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f a c t or 6 a^{2} + (9 a + 1)

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f a c t or ln (x) (e^{s e c^{2} (7 x)})

因式分解 2pir+2pi

f a c t or 2 π r + 2 π

因式分解 x^2(-cos(ln(x)))

f a c t or x^{2} (- cos (ln (x)))

因式分解 100f^2-180ff+81

f a c t or 100 f^{2} - 180 ff + 81