What is factor 5x^4-20x^3+20x^2 ?

The solution to factor 5x^4-20x^3+20x^2 is 5x^2(x-2)^2

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factor 5x^4-20x^3+20x^2

factor

5 x^{4} - 20 x^{3} + 20 x^{2}

5 x^{2} (x - 2)^{2}

Solution steps

5 x^{4} - 20 x^{3} + 20 x^{2}

Factor out common term

5 x^{2} : 5 x^{2} (x^{2} - 4 x + 4)

= 5 x^{2} (x^{2} - 4 x + 4)

Factor

x^{2} - 4 x + 4 : (x - 2) (x - 2)

= 5 x^{2} (x - 2) (x - 2)

Apply exponent rule:

aa = a^{2}

(x - 2) (x - 2) = (x - 2)^{2}

= 5 x^{2} (x - 2)^{2}

4 x^{3} + 32

5 x^{2} + 4 x - 12

- \frac{1}{2} x^{3} y^{2} - 7 y^{5} + x^{3} y^{2}

\frac{1}{36}

10 x - 3 = 8 x - 39

What is factor 5x^4-20x^3+20x^2 ?
The solution to factor 5x^4-20x^3+20x^2 is 5x^2(x-2)^2