What is factor m^4-7m^2n+10n^2 ?

The solution to factor m^4-7m^2n+10n^2 is (m^2-2n)(m^2-5n)

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factor m^4-7m^2n+10n^2

factor

m^{4} - 7 m^{2} n + 10 n^{2}

(m^{2} - 2 n) (m^{2} - 5 n)

Solution steps

m^{4} - 7 m^{2} n + 10 n^{2}

Break the expression into groups

= (m^{4} - 2 m^{2} n) + (- 5 m^{2} n + 10 n^{2})

Factor out

m^{2}

from

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

Factor out

- 5 n

from

- 5 m^{2} n + 10 n^{2} : - 5 n (m^{2} - 2 n)

= m^{2} (m^{2} - 2 n) - 5 n (m^{2} - 2 n)

Factor out common term

m^{2} - 2 n

= (m^{2} - 2 n) (m^{2} - 5 n)

1 - 36 m^{2}

236 = 1.065 \cdot t + 181

∣ x - 1 ∣ = ∣ 3 x + 2 ∣

\frac{y ^{- 2} z ^{- 3}}{y ^{- 1}}

\frac{2 x - 5}{12} > \frac{- x}{4} - \frac{5}{3}

What is factor m^4-7m^2n+10n^2 ?
The solution to factor m^4-7m^2n+10n^2 is (m^2-2n)(m^2-5n)