What is factor 15c^3d^2+60c^2d^3 ?

The solution to factor 15c^3d^2+60c^2d^3 is 15c^2d^2(c+4d)

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factor 15c^3d^2+60c^2d^3

factor

15 c^{3} d^{2} + 60 c^{2} d^{3}

15 c^{2} d^{2} (c + 4 d)

Solution steps

15 c^{3} d^{2} + 60 c^{2} d^{3}

Apply exponent rule:

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

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

= 15 c^{2} c d^{2} + 60 c^{2} d^{2} d

Rewrite

60

4 \cdot 15

= 15 c^{2} c d^{2} + 4 \cdot 15 c^{2} d^{2} d

Factor out common term

15 c^{2} d^{2}

= 15 c^{2} d^{2} (c + 4 d)

a^{2} - 0.25 = 0

1000 (10 + x) = 100 x^{2}

(\frac{1}{4})^{\frac{1}{4}}

(1 + \frac{0.04}{4})^{4} - 1

- 138 > - 6 (6 b - 7)

What is factor 15c^3d^2+60c^2d^3 ?
The solution to factor 15c^3d^2+60c^2d^3 is 15c^2d^2(c+4d)