Question

(a³+5)(a³-5)

Answer 1

at least take the effort to say what you are trying to do. Just typing an expression is useless.

Answer 2

(a³+5)(a³-5) = a^6 -25

Answer 3

[AI-generated answer — Explain Bot]

To simplify the expression (a³+5)(a³-5), we can use the distributive property of multiplication. This property states that when we multiply a term by a sum or difference inside parentheses, we distribute the multiplication to each term inside the parentheses.

Let's apply the distributive property to the expression:

(a³+5)(a³-5)

Using this property, we will multiply each term from the first parentheses (a³+5) with each term from the second parentheses (a³-5).

(a³ * a³) + (a³ * -5) + (5 * a³) + (5 * -5)

Now, let's simplify each term:

a^(3+3) is equal to a^6. (When multiplying two terms with the same base, we add the exponents)

a^(3+3) = a^6

a³ * -5 = -5a³ (multiplying a constant (in this case, -5) with a term)

5 * a³ = 5a³ (multiplying a constant (in this case, 5) with a term)

5 * -5 = -25 (multiplying two constants)

Now, we can rewrite the expression:

a^6 - 5a³ + 5a³ - 25

The terms -5a³ and +5a³ cancel each other out, resulting in 0. Therefore, we can simplify further:

a^6 - 25

So, the simplified form of (a³+5)(a³-5) is a^6 - 25.