What is factor 15d^2e^4-10d^3e^6f ?

The solution to factor 15d^2e^4-10d^3e^6f is 5e^4d^2(3-2e^2df)

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factor 15d^2e^4-10d^3e^6f

factor

15 d^{2} e^{4} - 10 d^{3} e^{6} f

5 e^{4} d^{2} (3 - 2 e^{2} df)

Solution steps

15 d^{2} e^{4} - 10 d^{3} e^{6} f

Apply exponent rule:

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

d^{3} f = d^{2} d

= 15 e^{4} d^{2} - 10 e^{6} d^{2} d

Factor out common term

d^{2}

= d^{2} (15 e^{4} - 10 e^{6} df)

Factor

15 e^{4} - 10 e^{6} df : 5 e^{4} (3 - 2 e^{2} df)

= 5 e^{4} d^{2} (- 2 e^{2} df + 3)

6 a c - 2 b d + 4 b c - 3 a d

lo g_{10} (a^{2} - b^{2})

(a \cdot b) \cdot (c \cdot d)

π (6)

e^{6} - e^{4}

What is factor 15d^2e^4-10d^3e^6f ?
The solution to factor 15d^2e^4-10d^3e^6f is 5e^4d^2(3-2e^2df)