What is factor m^4-5m^2n-14n^2 ?

The solution to factor m^4-5m^2n-14n^2 is (m^2+2n)(m^2-7n)

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factor m^4-5m^2n-14n^2

factor

m^{4} - 5 m^{2} n - 14 n^{2}

(m^{2} + 2 n) (m^{2} - 7 n)

Solution steps

m^{4} - 5 m^{2} n - 14 n^{2}

Break the expression into groups

= (m^{4} + 2 m^{2} n) + (- 7 m^{2} n - 14 n^{2})

Factor out

m^{2}

from

m^{4} + 2 m^{2} n : m^{2} (m^{2} + 2 n)

Factor out

- 7 n

from

- 7 m^{2} n - 14 n^{2} : - 7 n (m^{2} + 2 n)

= m^{2} (m^{2} + 2 n) - 7 n (m^{2} + 2 n)

Factor out common term

m^{2} + 2 n

= (m^{2} + 2 n) (m^{2} - 7 n)

\frac{8 - 1 x ^{0} + 2}{2}

5 (2 f + 2) + (- 3) f (4 f + 4)

u^{3} + v^{3}

(+ 3 x y) - (- x y) + (x y)

\frac{( n - 1 ) \cdot ( n - 2 ) \cdot ( n - 3 ) !}{( n - 3 ) !}

What is factor m^4-5m^2n-14n^2 ?
The solution to factor m^4-5m^2n-14n^2 is (m^2+2n)(m^2-7n)