What is factor 10m+3(n-8)-7(m-12)+9n ?

The solution to factor 10m+3(n-8)-7(m-12)+9n is 3(m+4n+20)

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factor 10m+3(n-8)-7(m-12)+9n

factor

10 m + 3 (n - 8) - 7 (m - 12) + 9 n

3 (m + 4 n + 20)

Solution steps

10 m + 3 (n - 8) - 7 (m - 12) + 9 n

Expand

3 (n - 8) : 3 n - 24

= 10 m + 3 n - 24 - 7 (m - 12) + 9 n

Expand

- 7 (m - 12) : - 7 m + 84

= 10 m + 3 n - 24 - 7 m + 84 + 9 n

Simplify

10 m + 3 n - 24 - 7 m + 84 + 9 n : 3 m + 12 n + 60

= 3 m + 12 n + 60

Rewrite

60

20 \cdot 3

Rewrite

12

4 \cdot 3

= 3 m + 4 \cdot 3 n + 20 \cdot 3

Factor out common term

3

= 3 (m + 4 n + 20)

30 \cdot 20

2 \leq 20

e^{2 x} - 3 e^{x} + 2 = 0

(x^{4})^{\frac{2}{3}} \cdot x^{- 2}

\frac{3}{x + 1} > \frac{2}{x - 3}

What is factor 10m+3(n-8)-7(m-12)+9n ?
The solution to factor 10m+3(n-8)-7(m-12)+9n is 3(m+4n+20)