Question

А(b+1)+b(a+1)=(a+1)(b+1)+1. ab=?a)1b)2c)ad)be)3​

Answer 1

Ответ:

b). ab=2

Пошаговое объяснение:

Расскрываем скобки аЬ+а+аb+b=ab+a+b+1+1. ab+a+ab+b-ab-a-b-1-1=0. ab-2=0. ab=2

Answer 2

Let's simplify the equation step by step:

Starting with the left side of the equation:

A(b+1) + b(a+1)

Using the distributive property:

Ab + A + ba + b

Combining like terms:

Ab + ba + A + b

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

(a+1)(b+1) + 1

Using the distributive property:

ab + a + b + 1 + 1

Combining like terms:

ab + a + b + 2

Now we can equate the left and right sides of the equation:

Ab + ba + A + b = ab + a + b + 2

Canceling out like terms:

Ab + ba + A = ab + a + 2

Rearranging the terms:

Ab + ba - ab - a = 2 - A

Factoring out common terms:

b(A - a) - a(A - 1) = 2 - A

Now, we need to assume that A is not equal to 1 because otherwise, we would have division by zero. Therefore, we can divide both sides by (A - 1) to simplify the equation further:

b - a = (2 - A) / (A - 1)

Finally, we can solve for ab:

ab = b - a + a(A - 1) / (A - 1)

ab = b - a + a

ab = b

Therefore, the value of ab is b. Since no specific values are given for a and b in the question, we cannot determine the exact value of ab. The answer cannot be determined from the information provided, so none of the given options (a, b, c, d, e) can be definitively chosen.