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Popular >

factor c^3-2c^2-4c+8

Solution

factor

c^{3} - 2 c^{2} - 4 c + 8

Solution

(c - 2)^{2} (c + 2)

Solution steps

c^{3} - 2 c^{2} - 4 c + 8

= (c^{3} - 2 c^{2}) + (- 4 c + 8)

Factor out

c^{2}

from

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

Factor out

- 4

from

- 4 c + 8 : - 4 (c - 2)

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

Factor out common term

c - 2

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

Factor

c^{2} - 4 : (c + 2) (c - 2)

= (c - 2) (c + 2) (c - 2)

Apply exponent rule:

aa = a^{2}

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

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

Popular Examples

(2x-6)(3x+2)=5x-4

(2 x - 6) (3 x + 2) = 5 x - 4

x^{2} + 20 x - 800 = 0

\frac{10}{7 - x} \geq x

u + 8 \geq 10

simplify-2*10 simplify

- 2 \cdot 10

Frequently Asked Questions (FAQ)

What is factor c^3-2c^2-4c+8 ?
The solution to factor c^3-2c^2-4c+8 is (c-2)^2(c+2)