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+4n

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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 n

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 n

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

\frac{d}{d t} (ln (y^{^{'}} (t)))

\infty - \infty - \infty

(1 + h)^{3} - 3 - (1^{3} - 4)

r e^{t} + 2 (e^{r t})

A e^{4 x} + B x e^{4 x}

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+4n