What is factor 100x^2-80xy+16y^2 ?

The solution to factor 100x^2-80xy+16y^2 is 4(5x-2y)^2

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factor 100x^2-80xy+16y^2

factor

100 x^{2} - 80 x y + 16 y^{2}

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

Solution steps

100 x^{2} - 80 x y + 16 y^{2}

Factor out common term

4 : 4 (25 x^{2} - 20 x y + 4 y^{2})

= 4 (25 x^{2} - 20 x y + 4 y^{2})

Factor

25 x^{2} - 20 x y + 4 y^{2} : (5 x - 2 y) (5 x - 2 y)

= 4 (5 x - 2 y) (5 x - 2 y)

Apply exponent rule:

aa = a^{2}

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

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

(6 n^{3})^{2}

- 4 a^{2} - 23 a - 6

3 x (x^{n} + 2 - y) + y (3 x - 4 y) - 3 x^{n} + 3

\frac{k \cdot ( \frac{27}{2} )}{( \frac{9}{4} ) i}

a^{2} \frac{b ^{3}}{2}

What is factor 100x^2-80xy+16y^2 ?
The solution to factor 100x^2-80xy+16y^2 is 4(5x-2y)^2