What is factor 15c^3d+6c^3d^3 ?

The solution to factor 15c^3d+6c^3d^3 is 3c^3d(5+2d^2)

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factor 15c^3d+6c^3d^3

factor

15 c^{3} d + 6 c^{3} d^{3}

3 c^{3} d (5 + 2 d^{2})

Solution steps

15 c^{3} d + 6 c^{3} d^{3}

Apply exponent rule:

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

c^{3} d^{3} = c^{3} d d^{2}

= 15 c^{3} d + 6 c^{3} d d^{2}

Rewrite

6

2 \cdot 3

Rewrite

15

5 \cdot 3

= 5 \cdot 3 c^{3} d + 2 \cdot 3 c^{3} d d^{2}

Factor out common term

3 c^{3} d

= 3 c^{3} d (5 + 2 d^{2})

(\frac{1}{4 m ^{2} n})^{3} x (- 32 m^{2} n)

\frac{1}{( sin ( x + \frac{x}{3} ) )}

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

2 \frac{p}{3} x^{5} \frac{p}{12}

\frac{3}{4} x^{3} \frac{y ^{3}}{( - \frac{1}{2} x ^{2} y ^{2} )}

What is factor 15c^3d+6c^3d^3 ?
The solution to factor 15c^3d+6c^3d^3 is 3c^3d(5+2d^2)