What is factor 27cd^2-18c^2d^2+3cd ?

The solution to factor 27cd^2-18c^2d^2+3cd is 3cd(9d-6cd+1)

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factor 27cd^2-18c^2d^2+3cd

factor

27 c d^{2} - 18 c^{2} d^{2} + 3 c d

3 c d (9 d - 6 c d + 1)

Solution steps

27 c d^{2} - 18 c^{2} d^{2} + 3 c d

Apply exponent rule:

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

c d^{2} = c dd, c^{2} d^{2} = cc dd

= 27 c dd - 18 cc dd + 3 c d

Rewrite

- 18

6 \cdot 3

Rewrite

27

9 \cdot 3

= 9 \cdot 3 c dd + 6 \cdot 3 cc dd + 3 c d

Factor out common term

3 c d

= 3 c d (9 d - 6 c d + 1)

\frac{1}{5} x + 2 = 3 - \frac{2}{7} x

\frac{7 w}{4} + 1 = \frac{9 w}{10} + 3

8 x^{3} - 125 y^{3}

- 2 (2 x - 4) + 3 = 6 x + 1

2 x = x^{2}

What is factor 27cd^2-18c^2d^2+3cd ?
The solution to factor 27cd^2-18c^2d^2+3cd is 3cd(9d-6cd+1)