What is factor m^2-6mn-27n^2 ?

The solution to factor m^2-6mn-27n^2 is (m+3n)(m-9n)

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factor m^2-6mn-27n^2

factor

m^{2} - 6 mn - 27 n^{2}

(m + 3 n) (m - 9 n)

Solution steps

m^{2} - 6 mn - 27 n^{2}

Break the expression into groups

= (m^{2} + 3 mn) + (- 9 mn - 27 n^{2})

Factor out

m

from

m^{2} + 3 mn : m (m + 3 n)

Factor out

- 9 n

from

- 9 mn - 27 n^{2} : - 9 n (m + 3 n)

= m (m + 3 n) - 9 n (m + 3 n)

Factor out common term

m + 3 n

= (m + 3 n) (m - 9 n)

\frac{y}{3} + 6 = 9

∣ y - 5 ∣ = 3

- x^{2} + 12 x - 20 = 0

18 x^{2} - 54 x + 36 = 0

(25 x)^{\frac{1}{2}}

What is factor m^2-6mn-27n^2 ?
The solution to factor m^2-6mn-27n^2 is (m+3n)(m-9n)