Question

(a-2)(a в квадрате+2а)

Answer 1

(а-2)а(а+2)

(а^2 -4)а

а^3-4а

Answer 2

To simplify the expression (a-2)(a^2+2a), you can use the distributive property of multiplication over addition. This property states that for any real numbers a, b, and c:

a(b + c) = ab + ac

Now, let's apply this property to simplify the given expression:

(a - 2)(a^2 + 2a)

First, distribute (a - 2) to each term inside the parentheses:

a(a^2) + a(2a) - 2(a^2) - 2(2a)

Now, multiply the terms:

a^3 + 2a^2 - 2a^2 - 4a

Next, combine the like terms:

a^3 + (2a^2 - 2a^2) - 4a

The middle terms (2a^2 - 2a^2) cancel out, leaving us with:

a^3 - 4a

So, the simplified expression is:

a^3 - 4a