Question

(а³-9)×(а⁶+9а³+81)-а⁹-729​

Answer 1

Приумножаем

а9-729-а9-729

Сокращение -а9

Ответ:-1458

Answer 2

To simplify the expression (а³-9)×(а⁶+9а³+81)-а⁹-729, follow these steps:

Step 1: Expand the expression inside the parentheses. Step 2: Perform the multiplication. Step 3: Simplify the resulting expression by combining like terms.

Let's start with step 1:

(а³-9) × (а⁶ + 9а³ + 81)

Using the distributive property, we can multiply each term in the first parentheses by each term in the second parentheses:

= а³ × а⁶ + а³ × 9а³ + а³ × 81 - 9 × а⁶ - 9 × 9а³ - 9 × 81

Step 2: Perform the multiplication:

When you multiply variables with the same base, you add the exponents:

= а^(3+6) + а^(3+3) × 9 + а^3 × 81 - 9 × а^6 - 9 × а^(3+3) - 9 × 81

Simplify the exponents:

= а^9 + а^6 × 9 + а^3 × 81 - 9 × а^6 - 9 × а^6 - 9 × 81

Step 3: Combine like terms:

We can combine the terms with the same exponent:

= а^9 + (9-9) × а^6 + (81 - 81) × а^3 - 9 × 81

Since (9 - 9) and (81 - 81) equal zero, they disappear:

= а^9 - 9 × 81

Now, let's simplify the remaining expression:

= а^9 - 729

So, the simplified expression is а^9 - 729.