Question

Какое из выражений записанно верно ? A)a+bc-d(m+n)=ac+bc-dm-dn Б)(a+b)c-d(m-n)=ac-dm+bc+dn B)a+b(c-d)m+n=a+bmc-bdm+n Г) ( a+b)c-d(m+n)=ab+c-d+mn

Answer 1

Правильно записано Б

Answer 2

Verifying the Correct Expression

The correct expression is: (a+b)c-d(m-n)=ac-bc-dm+dn

This expression is correct because it follows the correct application of the distributive property and the order of operations.

Explanation

In the given expressions, we need to identify the one that is written correctly. Let's break down each option:

A) a bc-d(m+n)=ac+bc-dm-dn B) (a+b)c-d(m-n)=ac-dm+bc+dn C) a+b(c-d)m+n=a+bmc-bdm+n D) (+a+b)c-d(m+n)=ab+c-d+mn

The correct expression is the one that correctly applies the distributive property and the order of operations.

Let's analyze each expression: - Option A does not correctly distribute the terms within the parentheses. - Option B correctly distributes the terms within the parentheses and follows the correct order of operations. - Option C does not correctly distribute the terms within the parentheses. - Option D does not correctly distribute the terms within the parentheses.

Therefore, the correct expression is (a+b)c-d(m-n)=ac-bc-dm+dn.

Conclusion

The correct expression among the given options is (a+b)c-d(m-n)=ac-bc-dm+dn.