Question

2(2m+n) - m - 2n 2(n+2) - (6 - n) _____________ + ____________ 7m 21n

Answer 1

Ответ: 4/7 - 2/21n

Надеюсь, не ошибся, но лучше проверить.

Answer 2

To simplify the expression:

[2(2m+n) - m - 2n] / 7m + [2(n+2) - (6 - n)] / 21n

First, simplify each numerator separately:

Numerator 1: 2(2m+n) - m - 2n

= 4m + 2n - m - 2n (Distribute the 2) = (4m - m) + (2n - 2n) (Group like terms) = 3m

Numerator 2: 2(n+2) - (6 - n)

= 2n + 4 - 6 + n (Distribute the 2 and negate the negative sign in front of 6) = (2n + n) + (4 - 6) (Group like terms) = 3n - 2

Now, rewrite the expression with the simplified numerators:

(3m) / 7m + (3n - 2) / 21n

Now, you can simplify further by factoring out the common terms in both denominators, which are 7m and 21n.

(3m) / (7m) + (3n - 2) / (21n)

Next, simplify by dividing both terms by their respective denominators:

(3m) / (7m) simplifies to 3/7.

(3n - 2) / (21n) simplifies to (3n/21n) - (2/21n) = (1/7) - (2/21n).

So, the simplified expression is:

(3/7) + ((1/7) - (2/21n))

Now, you can add the fractions in the second term:

(3/7) + ((1/7) - (2/21n)) = (3/7) + (1/7) - (2/21n)

Now, add the fractions with the common denominator:

(3/7 + 1/7) - (2/21n) = (4/7) - (2/21n)

So, the final simplified expression is:

(4/7) - (2/21n)