Question

(b-4)(b+2)-(b-1)² упрастить ​

Answer 1

Ответ: -9

Объяснение:

(b-4)(b+2)-(b-1)² = b² - 4b + 2b - 8 -  b² + 2b -1 = -9

Answer 2

To simplify the expression (b-4)(b+2) - (b-1)², let's expand and simplify each term:

(b-4)(b+2) = b(b+2) - 4(b+2) = b² + 2b - 4b - 8 = b² - 2b - 8

(b-1)² = (b-1)(b-1) = b(b-1) - 1(b-1) = b² - b - b + 1 = b² - 2b + 1

Now, substitute the simplified forms back into the original expression:

(b-4)(b+2) - (b-1)² = (b² - 2b - 8) - (b² - 2b + 1)

Expanding the negative sign inside the parentheses:

= b² - 2b - 8 - b² + 2b - 1

Now, combine like terms:

= (b² - b²) + (-2b + 2b) + (-8 - 1)

The b² terms cancel each other out, and the -2b and 2b terms cancel each other out:

= 0 - 9

Simplifying further:

= -9

Therefore, the simplified form of the expression (b-4)(b+2) - (b-1)² is -9.