Question

Evaluate 2a²(a³—a)—3a(a⁴+2a)—2(a4—3a²)

Answer 1

To evaluate the expression 2a²(a³—a)—3a(a⁴+2a)—2(a⁴—3a²), you can use the steps to simplify the expression and combine like terms.

Step-by-step explanation:

To evaluate the expression 2a²(a³—a)—3a(a⁴+2a)—2(a⁴—3a²), we can simplify it step by step:

1. Multiply the terms within parentheses:
2. Expand any exponents:
3. Combine like terms:

Using these steps, we can simplify the expression further:

1. 2a²(a³—a) can be written as 2a^5 - 2a^3
2. 3a(a⁴+2a) can be written as 3a^5 + 6a^2
3. 2(a⁴—3a²) can be written as 2a^4 - 6a^2

Combining these simplified terms, we have:

2a^5 - 2a^3 - 3a^5 - 6a^2 + 2a^4 - 6a^2

Finally, combining like terms, the expression simplifies to:

-a^5 - 4a^4 - 12a^2