Question

Розкрийте дужки (-5-a+2y)3-1

Answer 1

Ответ:

-16-3a+6y

Пошаговое объяснение:

-15-3a+6y-1=-16-3a+6y

Answer 2

To expand the expression (-5 - a + 2y)^3 - 1, we'll use the binomial expansion formula, which is:

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3.

In our case, a = -5, b = -a, and c = 2y. Let's perform the expansion step by step:

Step 1: Evaluate the cube of each term. (-5)^3 = -125 (-a)^3 = -a^3 (2y)^3 = 8y^3

Step 2: Use the binomial expansion formula with a = -5, b = -a, and c = 2y. (-5 - a + 2y)^3 = (-5)^3 + 3(-5)^2(-a) + 3(-5)(-a)^2 + (-a)^3 + 3(-5)^2(2y) + 3(-5)(2y)^2 + (2y)^3

Step 3: Substitute the values we found in step 1 and simplify. (-5 - a + 2y)^3 = -125 + 3(25)(a) + 3(5a^2) - a^3 + 3(25)(2y) + 3(10y^2) + 8y^3

Now, let's subtract 1 from the expression:

(-5 - a + 2y)^3 - 1 = (-125 + 3(25)(a) + 3(5a^2) - a^3 + 3(25)(2y) + 3(10y^2) + 8y^3) - 1

Finally, combine like terms:

(-5 - a + 2y)^3 - 1 = -125 + 75a + 15a^2 - a^3 + 150y + 30y^2 + 8y^3 - 1

The expanded form of the expression is:

• a^3 + 15a^2 + 75a + 8y^3 + 30y^2 + 150y - 126.