What is factor 13cd^3+39c^2d^2 ?

The solution to factor 13cd^3+39c^2d^2 is 13cd^2(d+3c)

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factor 13cd^3+39c^2d^2

factor

13 c d^{3} + 39 c^{2} d^{2}

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

Solution steps

13 c d^{3} + 39 c^{2} d^{2}

Apply exponent rule:

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

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

= 13 c d^{2} d + 39 cc d^{2}

Rewrite

39

3 \cdot 13

= 13 c d^{2} d + 3 \cdot 13 cc d^{2}

Factor out common term

13 c d^{2}

= 13 c d^{2} (d + 3 c)

lo g_{a} (\frac{a}{x}) - lo g_{a} (a x)

lo g_{7} (49) = y

x^{2} - 14 x + 19 = 0

x^{2} + 14 x + 45

- 4 x^{2} - 16 x + 180

What is factor 13cd^3+39c^2d^2 ?
The solution to factor 13cd^3+39c^2d^2 is 13cd^2(d+3c)