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

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

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factor m^2+3mn-4n^2

factor

m^{2} + 3 mn - 4 n^{2}

(m - n) (m + 4 n)

Solution steps

m^{2} + 3 mn - 4 n^{2}

Break the expression into groups

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

Factor out

m

from

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

Factor out

4 n

from

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

= m (m - n) + 4 n (m - n)

Factor out common term

m - n

= (m - n) (m + 4 n)

7 x^{2} - 2 = 0

4 (3 x + 1) - 5 x = 53

x^{- \frac{5}{4}}

(0.3)^{4}

\frac{8 m ^{3}}{10 m ^{3}}

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