Question

(a-c)(a+c)+(a-b)^2 - (a-b-c)(a-b+c)-4

Answer 1

Ответ:

Объяснение:

См фото

Answer 2

Ответ:

На фотографии........

Answer 3

Let's simplify the expression step by step:

1. Expand the first term, (a - c)(a + c):

   (a - c)(a + c) = a^2 + ac - ac - c^2 = a^2 - c^2

2. Expand the second term, (a - b)^2:

   (a - b)^2 = a^2 - 2ab + b^2

3. Expand the third term, (a - b - c)(a - b + c):

   (a - b - c)(a - b + c) = a^2 - ab + ac - ab + b^2 - bc - ac + bc - c^2 Simplifying this further, we can see that the middle terms (-ab and ab) and (-ac and ac) cancel out:

   = a^2 + b^2 - c^2

Now, we have simplified the individual terms. Let's put it all together:

(a - c)(a + c) + (a - b)^2 - (a - b - c)(a - b + c) - 4

= (a^2 - c^2) + (a^2 - 2ab + b^2) - (a^2 + b^2 - c^2) - 4

Now, combine like terms:

= a^2 - c^2 + a^2 - 2ab + b^2 - a^2 - b^2 + c^2 - 4

Now, we can simplify further:

= (a^2 + a^2 - a^2) + (-c^2 + c^2) + (-2ab) - 4

= a^2 - 2ab - 4

So, the simplified expression is:

a^2 - 2ab - 4