Question

(с-3)^2 - с(5с-6) .

Answer 1

Ответ:

(с-3)^2-с(5с-6)

с^2-6с+9-5с^2+6с

9-4с^2

Пошаговое объяснение:

Answer 2

To simplify the expression (с-3)^2 - с(5с-6), we can start by expanding the square of (с-3) using the formula:

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

In this case, a = с and b = 3. Applying the formula, we have:

(с-3)^2 = с^2 - 2(с)(3) + 3^2 = с^2 - 6с + 9

Now, let's simplify the second term с(5с-6):

с(5с-6) = 5с^2 - 6с

Finally, substituting these simplified forms back into the original expression, we have:

(с-3)^2 - с(5с-6) = с^2 - 6с + 9 - (5с^2 - 6с) = с^2 - 6с + 9 - 5с^2 + 6с = -4с^2 + 9

Therefore, the simplified expression is -4с^2 + 9.