What is factor 15m^2+mn-2n^2 ?

The solution to factor 15m^2+mn-2n^2 is (3m-n)(5m+2n)

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factor 15m^2+mn-2n^2

factor

15 m^{2} + mn - 2 n^{2}

(3 m - n) (5 m + 2 n)

Solution steps

15 m^{2} + mn - 2 n^{2}

Break the expression into groups

= (15 m^{2} - 5 mn) + (6 mn - 2 n^{2})

Factor out

5 m

from

15 m^{2} - 5 mn : 5 m (3 m - n)

Factor out

2 n

from

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

= 5 m (3 m - n) + 2 n (3 m - n)

Factor out common term

3 m - n

= (3 m - n) (5 m + 2 n)

x^{2} - 2 x - 30 = 0

∣ x - 7 ∣ > 2

2 x^{2} - 5 x y - 18 y^{2}

25 x^{2} + 16 = 0

3 x^{2} + 2 = 7 x

What is factor 15m^2+mn-2n^2 ?
The solution to factor 15m^2+mn-2n^2 is (3m-n)(5m+2n)