What is (m+n)(a-2)+(m-n)(a-2) ?

The solution to (m+n)(a-2)+(m-n)(a-2) is 2ma-4m

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simplify (m+n)(a-2)+(m-n)(a-2)

simplify

(m + n) (a - 2) + (m - n) (a - 2)

2 ma - 4 m

Solution steps

(m + n) (a - 2) + (m - n) (a - 2)

Expand

(m + n) (a - 2) : ma - 2 m + na - 2 n

= ma - 2 m + na - 2 n + (m - n) (a - 2)

Expand

(m - n) (a - 2) : ma - 2 m - na + 2 n

= ma - 2 m + na - 2 n + ma - 2 m - na + 2 n

Group like terms

= ma + ma - 2 m - 2 m + na - na - 2 n + 2 n

Add similar elements:

ma + ma = 2 ma

= 2 ma - 2 m - 2 m + na - na - 2 n + 2 n

Add similar elements:

- 2 m - 2 m = - 4 m

= 2 ma - 4 m + na - na - 2 n + 2 n

Add similar elements:

na - na = 0

= 2 ma - 4 m - 2 n + 2 n

Add similar elements:

- 2 n + 2 n = 0

= 2 ma - 4 m

10 (2) - 8 (- 3)^{2}

(2 x - 5) (3 x + 3)

(4 z^{x - 1})^{2}

\frac{18}{30} \div \frac{2}{5}

\frac{2 ( - x ) ^{2} + 3}{- x ^{2}}