What is factor 3b^4c-18b^3c^2+27b^2c^3 ?

The solution to factor 3b^4c-18b^3c^2+27b^2c^3 is 3b^2c(b-3c)^2

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factor 3b^4c-18b^3c^2+27b^2c^3

factor

3 b^{4} c - 18 b^{3} c^{2} + 27 b^{2} c^{3}

3 b^{2} c (b - 3 c)^{2}

Solution steps

3 b^{4} c - 18 b^{3} c^{2} + 27 b^{2} c^{3}

Factor out common term

3 b^{2} c : 3 b^{2} c (b^{2} - 6 b c + 9 c^{2})

= 3 b^{2} c (b^{2} - 6 b c + 9 c^{2})

Factor

b^{2} - 6 b c + 9 c^{2} : (b - 3 c) (b - 3 c)

= 3 b^{2} c (b - 3 c) (b - 3 c)

Apply exponent rule:

aa = a^{2}

(b - 3 c) (b - 3 c) = (b - 3 c)^{2}

= 3 b^{2} c (b - 3 c)^{2}

(- 4 - 4 i) \cdot (- 5 - 3 i)

110

(- 3 + y)^{2} + y^{2} = 5

2 x^{2} + 24 x + 64

What is factor 3b^4c-18b^3c^2+27b^2c^3 ?
The solution to factor 3b^4c-18b^3c^2+27b^2c^3 is 3b^2c(b-3c)^2