What is factor (x^2+2)(m+n)+2(m-n) ?

The solution to factor (x^2+2)(m+n)+2(m-n) is mx^2+nx^2+4m

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factor (x^2+2)(m+n)+2(m-n)

factor

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

m x^{2} + n x^{2} + 4 m

Solution steps

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

Expand

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

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

Expand

2 (m - n) : 2 m - 2 n

= m x^{2} + n x^{2} + 2 m + 2 n + 2 m - 2 n

Simplify

m x^{2} + n x^{2} + 2 m + 2 n + 2 m - 2 n : m x^{2} + n x^{2} + 4 m

= m x^{2} + n x^{2} + 4 m

3 x - [x + y - (2 x + y)]

3^{2} - 16 x - 12

x^{2} - 16 + 48

\frac{27 x ^{2} + 12 x}{3 x}

[(- 5.3)]

What is factor (x^2+2)(m+n)+2(m-n) ?
The solution to factor (x^2+2)(m+n)+2(m-n) is mx^2+nx^2+4m