What is factor 27c^3-d^3 ?

The solution to factor 27c^3-d^3 is (3c-d)(9c^2+3cd+d^2)

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factor 27c^3-d^3

factor

27 c^{3} - d^{3}

(3 c - d) (9 c^{2} + 3 c d + d^{2})

Solution steps

27 c^{3} - d^{3}

Apply exponent rules

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

Apply Difference of Cubes Formula:

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

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

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

Simplify

(3 c)^{2} + 3 c d + d^{2} : 9 c^{2} + 3 c d + d^{2}

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

(b^{3} + b^{2}) (b^{2} + 7 b + 4)

- 7 + \frac{6 ( - 8 x ) + 1}{- 8 x}

[x - 1 (x + 2)] - (3 x + 1)

\frac{5}{2} \cdot \frac{5}{4}

(3 \cdot 4)^{2 \cdot (- 1)}

What is factor 27c^3-d^3 ?
The solution to factor 27c^3-d^3 is (3c-d)(9c^2+3cd+d^2)