What is factor 4x^2-40xy+100y^2 ?

The solution to factor 4x^2-40xy+100y^2 is 4(x-5y)^2

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factor 4x^2-40xy+100y^2

factor

4 x^{2} - 40 x y + 100 y^{2}

4 (x - 5 y)^{2}

Solution steps

4 x^{2} - 40 x y + 100 y^{2}

Factor out common term

4 : 4 (x^{2} - 10 x y + 25 y^{2})

= 4 (x^{2} - 10 x y + 25 y^{2})

Factor

x^{2} - 10 x y + 25 y^{2} : (x - 5 y) (x - 5 y)

= 4 (x - 5 y) (x - 5 y)

Apply exponent rule:

aa = a^{2}

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

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

8 + 1

x^{2} sin (\frac{3}{4}) x

(- 1 + h)^{3}

\frac{4}{3} - \frac{5}{4}

What is factor 4x^2-40xy+100y^2 ?
The solution to factor 4x^2-40xy+100y^2 is 4(x-5y)^2