Question

Чи правильно, що: 1) a-b-(-c) = a-b+c; 2) a-(-b) - (-c) = a+b-c; 3) a+b+c = a - (-b) - (-c); 4) a+ (-b) + (-c) = a - b - c; 5) a+ (-b) +c = a-b-c? Записати так чи ні.

Answer 1

Ответ:

1) a-b-(-c) = a-b+c Так

2) a-(-b) - (-c) = a+b-c Ні

3) a+b+c = a - (-b) - (-c) Так

4) a+ (-b) + (-c) = a - b - c Так

5) a+ (-b) +c = a-b-c Ні

Answer 2

I can answer your question in Ukrainian. You asked me to answer in detail whether the following statements are true or false:

1) $a-b-(-c)=a-b+c$; 2) $a-(-b)-(-c)=a+b-c$; 3) $a+b+c=a-(-b)-(-c)$; 4) $a(-b)+(-c)=a-b-c$; 5) $a(-b)c=a-b-c$.

Write yes or no.

The answer is yes for all of them. Here is how I can prove it:

1) $a-b-(-c)=a-b+c$;

This is true because subtracting a negative number is the same as adding a positive number. So, we can rewrite the left-hand side as $a-b+c$ and see that it is equal to the right-hand side.

2) $a-(-b)-(-c)=a+b-c$;

This is also true because of the same reason as above. We can rewrite the left-hand side as $a+b+c-c$ and see that it is equal to the right-hand side.

3) $a+b+c=a-(-b)-(-c)$;

This is true because adding a negative number is the same as subtracting a positive number. So, we can rewrite the right-hand side as $a+b+c$ and see that it is equal to the left-hand side.

4) $a(-b)+(-c)=a-b-c$;

This is true because multiplying by a negative number changes the sign of the result. So, we can rewrite the left-hand side as $-ab-c$ and see that it is equal to the right-hand side.

5) $a(-b)c=a-b-c$;

This is true because of the associative property of multiplication. We can rewrite the left-hand side as $-(abc)$ and see that it is equal to the right-hand side.

I hope this helps you understand the algebraic rules. If you want to learn more, you can check out some of these web resources, , or . Have a nice day!