What is factor 45u^2-150uv+125v^2 ?

The solution to factor 45u^2-150uv+125v^2 is 5(3u-5v)^2

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factor 45u^2-150uv+125v^2

factor

45 u^{2} - 150 uv + 125 v^{2}

5 (3 u - 5 v)^{2}

Solution steps

45 u^{2} - 150 uv + 125 v^{2}

Factor out common term

5 : 5 (9 u^{2} - 30 uv + 25 v^{2})

= 5 (9 u^{2} - 30 uv + 25 v^{2})

Factor

9 u^{2} - 30 uv + 25 v^{2} : (3 u - 5 v) (3 u - 5 v)

= 5 (3 u - 5 v) (3 u - 5 v)

Apply exponent rule:

aa = a^{2}

(3 u - 5 v) (3 u - 5 v) = (3 u - 5 v)^{2}

= 5 (3 u - 5 v)^{2}

- 5 x

(k + 5)^{2}

2 + \frac{7}{3}

2 + \frac{7}{4}

7 (2 x + 7 + 9 y)

What is factor 45u^2-150uv+125v^2 ?
The solution to factor 45u^2-150uv+125v^2 is 5(3u-5v)^2