What is factor 4d^3e^2-12d^4ef^2 ?

The solution to factor 4d^3e^2-12d^4ef^2 is 4ed^3(e-3df^2)

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factor 4d^3e^2-12d^4ef^2

factor

4 d^{3} e^{2} - 12 d^{4} e f^{2}

4 e d^{3} (e - 3 d f^{2})

Solution steps

4 d^{3} e^{2} - 12 d^{4} e f^{2}

Apply exponent rule:

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

d^{4} f^{2} = d^{3} d

= 4 e^{2} d^{3} - 12 e d^{3} d

Factor out common term

d^{3}

= d^{3} (4 e^{2} - 12 e d f^{2})

Factor

4 e^{2} - 12 e d f^{2} : 4 e (e - 3 d f^{2})

= 4 e d^{3} (e - 3 d f^{2})

(m)^{2}

p x + p y + q x + q y

35 m^{3} x + 20 m^{3} y - 21 a x - 12 a y

\frac{64 - x}{8 - x}

a^{5} b^{10} - c^{15} d^{5}

What is factor 4d^3e^2-12d^4ef^2 ?
The solution to factor 4d^3e^2-12d^4ef^2 is 4ed^3(e-3df^2)