Question

Раскрыть скобки:(a-2)^3

Answer 1

Ответ:

Объяснение:

=a^3-6a^2+12a-8

Answer 2

To expand the expression (a-2)^3, you can use the binomial theorem or simply perform the multiplication step by step. Here's how you can do it step-by-step:

(a-2)^3 = (a-2)(a-2)(a-2)

Now, let's expand it using the distributive property:

1st step: (a-2)(a-2) = a(a) + a(-2) + (-2)(a) + (-2)(-2) = a^2 - 2a - 2a + 4 = a^2 - 4a + 4

2nd step: (a^2 - 4a + 4)(a-2) = a^2(a) + a^2(-2) - 4a(a) - 4a(-2) + 4(a) + 4(-2) = a^3 - 2a^2 - 4a^2 + 8a + 4a - 8 = a^3 - 6a^2 + 12a - 8

So, the expanded form of (a-2)^3 is a^3 - 6a^2 + 12a - 8.