Question

A-b=9b-c=7=> a^2-(ac+ab)+bc

Answer 1

Ответ:

144

Пошаговое объяснение:

Всё расписано в решении.

Answer 2

Let's solve the given equations and then simplify the expression a^2 - (ac + ab) + bc.

Given equations:

1. A - B = 9
2. 9B - C = 7

We have two equations with three variables (A, B, and C). To simplify the expression a^2 - (ac + ab) + bc, we need to find the values of A, B, and C.

Step 1: Solve the equations for A, B, and C. Equation 1: A - B = 9 Solving for A: A = B + 9

Equation 2: 9B - C = 7 Solving for C: C = 9B - 7

Step 2: Substitute the values of A and C into the expression a^2 - (ac + ab) + bc.

The expression becomes: (B + 9)^2 - ((B + 9) * B + B * (9B - 7)) + B * (9B - 7)

Step 3: Simplify the expression.

Expand the square term: (B + 9)^2 = B^2 + 18B + 81

Now, let's simplify the other terms: (B + 9) * B = B^2 + 9B B * (9B - 7) = 9B^2 - 7B

Substitute the simplified terms back into the expression: (B^2 + 18B + 81) - (B^2 + 9B + (9B^2 - 7B)) + B * (9B - 7)

Simplify further: B^2 + 18B + 81 - B^2 - 9B - 9B^2 + 7B + B * (9B - 7)

Combine like terms: 18B - 9B^2 + B * (9B - 7) + 81

Factor out common terms from the last two terms: 18B - 9B^2 + B(9B - 7) + 81

Now, the expression is in simplified form, and it cannot be simplified any further. So, the final result is:

a^2 - (ac + ab) + bc = 18B - 9B^2 + B(9B - 7) + 81