What is factor 3m^2(m-2n)-4mn(m-2n)-4n^2(m-2n) ?

The solution to factor 3m^2(m-2n)-4mn(m-2n)-4n^2(m-2n) is (m-2n)^2(3m+2n)

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factor 3m^2(m-2n)-4mn(m-2n)-4n^2(m-2n)

factor

3 m^{2} (m - 2 n) - 4 mn (m - 2 n) - 4 n^{2} (m - 2 n)

(m - 2 n)^{2} (3 m + 2 n)

Solution steps

3 m^{2} (m - 2 n) - 4 mn (m - 2 n) - 4 n^{2} (m - 2 n)

Factor out common term

m - 2 n

= (m - 2 n) (3 m^{2} - 4 mn - 4 n^{2})

Factor

3 m^{2} - 4 mn - 4 n^{2} : (3 m + 2 n) (m - 2 n)

= (m - 2 n) (3 m + 2 n) (m - 2 n)

Apply exponent rule:

aa = a^{2}

(m - 2 n) (m - 2 n) = (m - 2 n)^{2}

= (m - 2 n)^{2} (3 m + 2 n)

3 t^{2} + t - 2

x^{2} - 2 x + 3 \geq 0

x^{2} + 10 x + 25 - x^{4}

x^{2} = 12 x - 7

\frac{π}{6} \cdot \frac{180}{π}

What is factor 3m^2(m-2n)-4mn(m-2n)-4n^2(m-2n) ?
The solution to factor 3m^2(m-2n)-4mn(m-2n)-4n^2(m-2n) is (m-2n)^2(3m+2n)