Question

Add. (a³ - 2a² + 4) + (2a³ + a² - 2)

Answer 1

(a³ - 2a² + 4) + (2a³ + a² - 2)

= a³ - 2a² + 4 + 2a³ + a² - 2

= a³ + 2a³ - 2a² + a² + 4 - 2

= 3a³ - a² - 2.

Answer 2

(a³ - 2a² + 4) + (2a³ + a² - 2)

To simplify this, let's first get rid of all the parenthesis.

Please remember that : a Positive $\times$ a Negative is a Negative, and a Negative $\times$ a Negative is a Positive!

So, using the above knowledge, let's get to simplifying!

a³ - 2a² + 4 + 2a³ + a² - 2

Now, let's look at our variables/numbers. Note that we have some like terms in here. So, let's add those like terms!

(a³ + 2a³) + (-2a² + a²) + (4 - 2)

Simplify.

3a³ + (-a²) + (2)

Now, get rid of the parenthesis (read above about multiplying positives/negatives if you are confused about what is about to happen).

3a³ - a² + 2