Question

Спрости вираз застосовуючи розподільний закон множення 42х + 12х 28с-с 99н+н 37у-9у 63а+8а-29а 89м-44м+м ДАЮ 20 БАЛІВ

Answer 1

Solving the Expression Using the Distributive Law

To solve the given expression using the distributive law, we'll first simplify the expression by combining like terms and then apply the distributive law to factor out common terms.

The given expression is: 42х + 12х + 28с - с + 99n + n + 37у - 9у + 63а + 8а - 29а + 89м - 44м + м

Combining Like Terms

Let's combine the like terms in the expression: - 42х + 12х = 54х - 28с - с = 27с - 99n + n = 100n - 37у - 9у = 28у - 63а + 8а - 29а = 42а - 89м - 44м + м = 46м + м = 47м

Now, the expression becomes: 54х + 27с + 100n + 28у + 42а + 47м

Applying the Distributive Law

We can now apply the distributive law to factor out common terms. The distributive law states that for any real numbers a, b, and c: a(b + c) = ab + ac

Let's apply the distributive law to the expression: 54х + 27с + 100n + 28у + 42а + 47м Factoring out the common terms, we get: x(54) + c(27) + n(100) + y(28) + a(42) + m(47)

Final Expression

After applying the distributive law, the expression becomes: 54x + 27c + 100n + 28y + 42a + 47m

Therefore, the expression, when simplified using the distributive law, is 54x + 27c + 100n + 28y + 42a + 47m.