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

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

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

simplify

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

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

Solution steps

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

Expand

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

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

Expand

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

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

Group like terms

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

Add similar elements:

2 m + 2 m = 4 m

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

Add similar elements:

- 2 n - 2 n = - 4 n

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

x^{5} + 2 x^{3} + x^{2} + 2

\frac{21}{98}

\frac{3}{1} + \frac{1}{2}

csc (x) sec (x) - tan (x)

(\frac{1}{4})^{- 5^{l o g_{2} (3)}}

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