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Popular >

factor 8c^3-27

Solution

factor

8 c^{3} - 27

Solution

(2 c - 3) (4 c^{2} + 6 c + 9)

Solution steps

8 c^{3} - 27

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

(2 c)^{3} - 3^{3} = (2 c - 3) (2^{2} c^{2} + 3 \cdot 2 c + 3^{2})

= (2 c - 3) (2^{2} c^{2} + 3 \cdot 2 c + 3^{2})

Simplify

(2 c - 3) (2^{2} c^{2} + 3 \cdot 2 c + 3^{2}) : (2 c - 3) (4 c^{2} + 6 c + 9)

= (2 c - 3) (4 c^{2} + 6 c + 9)

Popular Examples

factor t^2-8t+16 factor

t^{2} - 8 t + 16

simplify 5/12+5/6 simplify

\frac{5}{12} + \frac{5}{6}

8 \frac{1}{5}

simplify 1/5-2/5 simplify

\frac{1}{5} - \frac{2}{5}

simplify (xy)/y simplify

\frac{x y}{y}

Frequently Asked Questions (FAQ)

What is factor 8c^3-27 ?
The solution to factor 8c^3-27 is (2c-3)(4c^2+6c+9)