What is factor m^2+8mn-3mn-24n^2 ?

The solution to factor m^2+8mn-3mn-24n^2 is (m-3n)(m+8n)

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factor m^2+8mn-3mn-24n^2

factor

m^{2} + 8 mn - 3 mn - 24 n^{2}

(m - 3 n) (m + 8 n)

Solution steps

m^{2} + 8 mn - 3 mn - 24 n^{2}

Add similar elements:

8 mn - 3 mn = 5 mn

= m^{2} + 5 mn - 24 n^{2}

Break the expression into groups

= (m^{2} - 3 mn) + (8 mn - 24 n^{2})

Factor out

m

from

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

Factor out

8 n

from

8 mn - 24 n^{2} : 8 n (m - 3 n)

= m (m - 3 n) + 8 n (m - 3 n)

Factor out common term

m - 3 n

= (m - 3 n) (m + 8 n)

2 x - 6 \leq 4

(x + 1)^{3}

5 x^{2} - 5 x - 7 = 0

4 d^{2} - 15 d + 16 = 0

- 4 + ∣ 7 - 2 k ∣ < - 19

What is factor m^2+8mn-3mn-24n^2 ?
The solution to factor m^2+8mn-3mn-24n^2 is (m-3n)(m+8n)