What is factor 4d^3+16de^2-20df^3 ?

The solution to factor 4d^3+16de^2-20df^3 is 4d(d^2+4e^2-5f^3)

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factor 4d^3+16de^2-20df^3

factor

4 d^{3} + 16 d e^{2} - 20 d f^{3}

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

Solution steps

4 d^{3} + 16 d e^{2} - 20 d f^{3}

Apply exponent rule:

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

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

= 4 d d^{2} + 16 e^{2} d - 20 d f^{3}

Factor out common term

d

= d (4 d^{2} + 16 e^{2} - 20 f^{3})

Factor

4 d^{2} + 16 e^{2} - 20 f^{3} : 4 (d^{2} + 4 e^{2} - 5 f^{3})

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

(cos (3 x))^{2}

a x + a c - b x - b c

[3.5]

21 uv + 8 b + 3 u + 56 b v

cos^{3} (x) + sin^{3} (x)

What is factor 4d^3+16de^2-20df^3 ?
The solution to factor 4d^3+16de^2-20df^3 is 4d(d^2+4e^2-5f^3)