What is factor 4c^4-20c^2d^3+25d^6 ?

The solution to factor 4c^4-20c^2d^3+25d^6 is (2c^2-5d^3)^2

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factor 4c^4-20c^2d^3+25d^6

factor

4 c^{4} - 20 c^{2} d^{3} + 25 d^{6}

(2 c^{2} - 5 d^{3})^{2}

Solution steps

4 c^{4} - 20 c^{2} d^{3} + 25 d^{6}

Break the expression into groups

= (4 c^{4} - 10 c^{2} d^{3}) + (- 10 c^{2} d^{3} + 25 d^{6})

Factor out

2 c^{2}

from

4 c^{4} - 10 c^{2} d^{3} : 2 c^{2} (2 c^{2} - 5 d^{3})

Factor out

- 5 d^{3}

from

- 10 c^{2} d^{3} + 25 d^{6} : - 5 d^{3} (2 c^{2} - 5 d^{3})

= 2 c^{2} (2 c^{2} - 5 d^{3}) - 5 d^{3} (2 c^{2} - 5 d^{3})

Factor out common term

2 c^{2} - 5 d^{3}

= (2 c^{2} - 5 d^{3}) (2 c^{2} - 5 d^{3})

Apply exponent rule:

aa = a^{2}

(2 c^{2} - 5 d^{3}) (2 c^{2} - 5 d^{3}) = (2 c^{2} - 5 d^{3})^{2}

= (2 c^{2} - 5 d^{3})^{2}

x (2 x - 7) = 39

4 w^{2} = 12 w

(210)^{2}

2 x^{2} - 4 x + 4

∣ x - 3 ∣ \leq 2

What is factor 4c^4-20c^2d^3+25d^6 ?
The solution to factor 4c^4-20c^2d^3+25d^6 is (2c^2-5d^3)^2