What is factor 10m^2-12mn-25mn+30n^2 ?

The solution to factor 10m^2-12mn-25mn+30n^2 is (5m-6n)(2m-5n)

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factor 10m^2-12mn-25mn+30n^2

factor

10 m^{2} - 12 mn - 25 mn + 30 n^{2}

(5 m - 6 n) (2 m - 5 n)

Solution steps

10 m^{2} - 12 mn - 25 mn + 30 n^{2}

Add similar elements:

- 12 mn - 25 mn = - 37 mn

= 10 m^{2} - 37 mn + 30 n^{2}

Break the expression into groups

= (10 m^{2} - 12 mn) + (- 25 mn + 30 n^{2})

Factor out

2 m

from

10 m^{2} - 12 mn : 2 m (5 m - 6 n)

Factor out

- 5 n

from

- 25 mn + 30 n^{2} : - 5 n (5 m - 6 n)

= 2 m (5 m - 6 n) - 5 n (5 m - 6 n)

Factor out common term

5 m - 6 n

= (5 m - 6 n) (2 m - 5 n)

3 x^{2} y^{5} + 6 x^{2} y^{4}

5 (x + 3)^{2} + 9 (x + 3) = 2

- 5 a + 3 b + 8 a

∣ 4 x - 10 ∣ = 25 - x

∣ 4 x + 2 ∣ = ∣ 7 x - 2 ∣

What is factor 10m^2-12mn-25mn+30n^2 ?
The solution to factor 10m^2-12mn-25mn+30n^2 is (5m-6n)(2m-5n)