Question

A(b+c-bc)-b(a+c-ac)=(a-b)cдокажите торжество​

Answer 1

Ответ: см. фото

Объяснение:

Возможно так, точно не уверена, как доказывается тождество, но если раскрыть скобки 0 равняется 0, правая сторона равна левой, тождество равно.

Answer 2

To prove the equation A(b+c-bc)-b(a+c-ac)=(a-b)c, we can simplify both sides of the equation and show that they are equal.

Let's start by simplifying the left side of the equation:

A(b+c-bc)-b(a+c-ac)

Expanding the terms inside the parentheses:

Ab+Ac-Abc-ba-bc+abc

Rearranging the terms:

Ab-Abc+Ac-ba+abc-bc

Combining like terms:

Ab(1-c)+Ac(1-b)+abc-bc

Factoring out common factors:

Ab(1-c)+Ac(1-b)+(a-b)c

Now, let's simplify the right side of the equation:

(a-b)c

Expanding the terms:

ac-bc

Now, we can see that the left side of the equation is equal to the right side of the equation:

Ab(1-c)+Ac(1-b)+(a-b)c = ac-bc

Therefore, we have proved that A(b+c-bc)-b(a+c-ac)=(a-b)c.